# Area of triangle: The introduction

The area of triangle in any polygon is the total amount of square units inside that polygon. By area, we mean a 2-dimensional carpet or an area rug. Likewise, a triangle as we already know is a 3-sided polygon. There are so many types of triangles in mathematics as well as in geometry. Finding the area of triangle can be quite interesting and somewhat challenging for students. This is because each of these triangles has its own properties as well as its own formula for finding the area of triangle

There are few criteria we must know or understand in order to find the area of triangle. Some of which include the following:

• We must first know what type or kind of triangle it is, as this gives you the insight or foresight of what the area of triangle might be
• What angle was given which determines how and what formula must be applied and used to find the area of triangle
• The length and sides given that must be used in finding the area of triangle

The use of trigonometry to determine the height h of a triangle

The area of the triangle can be expressed as: T=12 ab sin γ 12 bc sin α = 12 ac sin β, where α represents the interior angle at A; β represents the interior angle at B, γ represents the interior angle at C and c is line AB. Furthermore, since sin α = sin (π − α) = sin (β + γ), and similarly for the remaining two angles: T=12 ab sin (α + β) = 12 bc sin (β + γ) = 12 ca sin (γ+α). Also, T=b.b(sin α )(sin⁡(α+ β))2sin β and analogously if the known side is a or c. Finally, Knowing ASA: T= a.a2(cot β+cot γ) = a.a(sin β )(sin γ )2sin⁡(β+γ) and analogously if the known side is b or c

Using Heron’s formula to determine the area of triangle: The shape of any triangle can be determined by its lengths of the sides. Therefore, the area of triangle can be obtained from the lengths of the sides. By Heron’s formula:

T= √s(s-a)(s-b)(s-c); where s = a+b+c2 is the semiperimeter of the triangle. Three other similar ways of writing Heron’s formula are as follows:

• T= √ (a2+b2+c2)-2(a4+b4+c4)
• T=14 √2 (a2 b2+a2 c2+ b2c2)-(a4+b4+c4)
• T=14 √ (a+b-c) (a-b+c)(-a+b+c)(a+b+c)

# 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.

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

or

Instant Quote