Question

Im stuck on question 5-91 in cpm geometry the question asks me to find the area of a triangle... I figured out the 30 60 90's are but i still have triangle left over ill send a photo of the triangle

Answer 1

Answer

Area of the triangle = 72 square units

Explanation

For a triangle whose two sides (a and b) are given, and an angle that exists between them is also given, the area of that triangle is given as

Area of the triangle = ½ ab Sin θ

For this question,

a = 12 units

b = 24 units

θ = 30°

Area of the triangle = ½ ab Sin θ

Area of the triangle = ½ (12) (24) (Sin 30°)

Sin 30° = 0.5

Area of the triangle = ½ (12) (24) (Sin 30°)

Area of the triangle = ½ (12) (24) (0.5) = 72 square units

Hope this Helps!!!