We appreciate your visit to Find the area of triangle ABC Given Angle A 44 8º Angle B 39 3º Side c 21 8 m What is the area of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find triangle area, we use the formula A = 1/2 * base * height. We first find the third angle of the triangle by subtracting the sum of the given angles from 180 degrees. Then, we use the Law of Sines to find the length of the base. Therefore, the area of triangle ABC is approximately 187.7 square meters.
To find the area of a triangle, we can use the formula A = 1/2 * base * height. In this case, the base can be any side of the triangle and the height is the perpendicular distance from the base to the opposite vertex. Since we are not given the base and height directly, we need to use the given angles and side lengths to find them.
First, let's find the third angle of the triangle by subtracting the sum of the given angles from 180 degrees. The third angle would be 180 - 44.8 - 39.3 = 96.9 degrees.
Next, we can use the Law of Sines to find the length of the base. The Law of Sines states that a/sin(A) = b/sin(B) = c/sin(C), where a, b, and c are the side lengths and A, B, and C are the angles opposite the corresponding sides. Let's choose side BC as the base, with side lengths c = 21.8 m and C = 96.9 degrees. Using the law of sines, we can solve for side a as follows:
a/sin(A) = c/sin(C)
a/sin(44.8) = 21.8/sin(96.9)
a = 21.8 * sin(44.8) / sin(96.9)
= 16.3 m
Now that we have the base and the height (which is the opposite side of the given angle), we can use the formula A = 1/2 * base * height:
A = 1/2 * 16.3 * 21.8
= 187.7
Therefore, the area of triangle ABC is approximately 187.7 square meters.
Learn more about the topic of Triangle Area here:
https://brainly.com/question/27683633
#SPJ11
Thanks for taking the time to read Find the area of triangle ABC Given Angle A 44 8º Angle B 39 3º Side c 21 8 m What is the area of. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
