100% Original, Plagiarism Free, Tailored to your instructions

Order Now!

Isosceles triangle definition: a triangle with 2 sides being equal

Introduction to Isosceles triangle definition

Going by geometry, the isosceles triangle definition states that any triangle with two sides and each of these sides are of equal length. In some cases, it is described as a triangle with two and just two sides of equal length

Isosceles triangle definition also identifies such as a triangle with at least two sides of equal length, this last definition as well as the equilateral triangle as a special case. By the isosceles triangle theorem, the two angles opposite the equal sides are as well equal, but if the third side is different then the third angle will as well not be the same

By the Steiner–Lehmus theorem, every triangle with two angle bisectors of equal length fall under the isosceles triangle definition

Depending on how you draw yours according to the isosceles triangle definition, it has two legs i.e. from the isosceles triangle definition we can see that the two long straight lines opposite each other and a base – the not too short but not long line which connects its legs together

An obtuse isosceles triangle definition with one angle that is obviously more than 90°

Solving an isosceles triangle definition with examples

Both the legs (the two opposite straight lines in the triangle) or the base of an isosceles triangle definition just like in any case where we are to find an unknown, can be determined if we know the other values. As we are already familiar with, the base of this isosceles triangle definition forms the height of the triangle with a perpendicular bisector right from the base

Now, this perpendicular line drawn from the base to reach its vertex in turn form another 2 similar right isosceles triangles definition. These two right angle triangles can be solved for using the Pythagoras’ theorem. It has been explained in details below:

  • Finding the base of an isosceles triangle definition: in order to determine the base once we know its leg, height, we use the formula: Base = 2 √L2−A2, where: L = length of a leg of the isosceles triangle definition while A is the height or altitude
  • Finding the leg isosceles triangle definition: to find the length of the length if we have its base and height, we use the formula: Leg = √A2 + (B2)2, where: letter B is the length of the triangle base and A is its altitude
  • Altitude isosceles triangle definition: to find the height given the base and leg, use the formula: Altitude =√ L2−(B2)2, where: letter L is the length of a leg of the isosceles triangle definition while its base is letter B

Example 1: A right angled isosceles triangle definition with length 5 cm has a height of 13 cm. Find the area of this triangle:

  • Let L be the length = 5 cm
  • While H be its height = 13 cm
  • The Formula to use is: Area A of the triangle = 12 (l × h) square unit i.e. 

    = 12 (5 x 13) 

    = 12 (65) 

    = 652 

    = 32.5. Therefore, the area of our triangle is: 32.5 cm2

Example 2: A right isosceles triangle definition has its length to be 7.5 m and height of 10 m. Find the area of that triangle:

  • Let L be the length = 7.5 cm
  • While H be its height = 10 cm
  • The Formula to use is: Area A of the triangle = 12 (l × h) square unit i.e. 

    = 12 (7.5 x 10) 

    = 12 (75) 

    = 752 

    = 37.5. Therefore, the area of our triangle is: 37.5 cm2

Example 3: A right angled isosceles triangle definition has area 6.25 cm2 and length 2.5 cm. Find the height of the triangle:

  • Let A be the area = 6.25 cm
  • While L be its length = 2.5 cm
  • The Formula to use is: Area A of the triangle = 12 (l × h) square unit i.e. 

    6.25 = 12 (2.5 x h) 

    6.25 = 1.25h 

    h= 6.251.25 

    = 5cm. Therefore, Height of our triangle is: 5 cm

Example 4: Solve the area of the obtuse isosceles triangle definition for the given base is 8 inches and height is 10 inches:

  • Base = 8 inches
  • Height = 10 inches
  • Area A of obtuse isosceles triangle definition = 12 (Base × Height)
  • Area = 12 x 8 x 10 = 40. Therefore, the area of an obtuse isosceles triangle definition is 40 square inches

Example 5: find the area of obtuse isosceles triangle definition for the given base is 10 meters and height is 6 meters?:

  • Base = 10 meters
  • Height = 6 meters
  • Area A of obtuse triangle = 12 (Base × Height)
  • Area = 12 × 10 × 6 = 30. Therefore, the area of an obtuse triangle is 30m2

Example 6: Solve the area of an obtuse triangle if the given base is 15 centimeters and height is 7.5 centimeters?:

  • Base = 15 centimeter
  • Height = 7.5 centimeter
  • Area A of obtuse triangle = 12 (Base × Height)
  • Area = 12 × 15 × 7.5 = 56.25 Therefore, the area of an obtuse triangle is 56.25 cm2

Example 7: If the two interior angles of the acute triangle are 750 and 500 respectively, solve for the third interior angle of the triangle:

  • Both internal angles are 750 and 500
  • Sum of the internal angles in acute triangle is 1800
  • Imagine the third angle p0 since all triangles regardless of their type must have three sides or three angles
  • Therefore, we have: 750 + 500 + our 3rd angle p0 = 1800
  • 1250 + p0 = 1800
  • p0 = 1800 – 1250
  • p0 = 550. Our 3rd inner angle of the acute triangle is: 550

Example 8: Solve for the outer angle of the acute angled triangle when the two inner opposite angles are 500 and 800 respectively:

  • Since both the outer and inner angles are added up to form the angles within a triangle, therefore, we have: 500 + 800 = 1300. Finally, the external angle of this acute triangle will be 1300

Our Service Charter

  1. Excellent Quality / 100% Plagiarism-Free

    We employ a number of measures to ensure top quality essays. The papers go through a system of quality control prior to delivery. We run plagiarism checks on each paper to ensure that they will be 100% plagiarism-free. So, only clean copies hit customers’ emails. We also never resell the papers completed by our writers. So, once it is checked using a plagiarism checker, the paper will be unique. Speaking of the academic writing standards, we will stick to the assignment brief given by the customer and assign the perfect writer. By saying “the perfect writer” we mean the one having an academic degree in the customer’s study field and positive feedback from other customers.
  2. Free Revisions

    We keep the quality bar of all papers high. But in case you need some extra brilliance to the paper, here’s what to do. First of all, you can choose a top writer. It means that we will assign an expert with a degree in your subject. And secondly, you can rely on our editing services. Our editors will revise your papers, checking whether or not they comply with high standards of academic writing. In addition, editing entails adjusting content if it’s off the topic, adding more sources, refining the language style, and making sure the referencing style is followed.
  3. Confidentiality / 100% No Disclosure

    We make sure that clients’ personal data remains confidential and is not exploited for any purposes beyond those related to our services. We only ask you to provide us with the information that is required to produce the paper according to your writing needs. Please note that the payment info is protected as well. Feel free to refer to the support team for more information about our payment methods. The fact that you used our service is kept secret due to the advanced security standards. So, you can be sure that no one will find out that you got a paper from our writing service.
  4. Money Back Guarantee

    If the writer doesn’t address all the questions on your assignment brief or the delivered paper appears to be off the topic, you can ask for a refund. Or, if it is applicable, you can opt in for free revision within 14-30 days, depending on your paper’s length. The revision or refund request should be sent within 14 days after delivery. The customer gets 100% money-back in case they haven't downloaded the paper. All approved refunds will be returned to the customer’s credit card or Bonus Balance in a form of store credit. Take a note that we will send an extra compensation if the customers goes with a store credit.
  5. 24/7 Customer Support

    We have a support team working 24/7 ready to give your issue concerning the order their immediate attention. If you have any questions about the ordering process, communication with the writer, payment options, feel free to join live chat. Be sure to get a fast response. They can also give you the exact price quote, taking into account the timing, desired academic level of the paper, and the number of pages.

Excellent Quality
Zero Plagiarism
Expert Writers

Instant Quote

Instant Quote
Single spaced
approx 275 words per page
Urgency (Less urgent, less costly):
Total Cost: NaN

Get 10% Off on your 1st order!