Question

Find the area of the triangle. Round your answer to the nearest tenth. Triangle ABC line AB = 41 in. , line AC = 41 in. , ∠A=38°

a. 840.5 in.2 b. 1,034.9 in.2 c. 656.7 in.2 d. 517.5 in.2

Answer 1

A = 517.5 in.² ⇒ answer (d)

Explanation:

∵ The area of any triangle with given two sides and including angle is

A = 1/2 × side1 × side2 × sin including angle

∵ AB = 41 , AC = 41 and angle A = 38°

∴ A = 1/2 × 41 × 41 × sin 38 = 517.5 in.² ⇒ answer (d)