Answer:
1. 37.0 in²
2. 55 m²
Step-by-step explanation:
1) all angles in an equilateral triangle are 60°
The dotted line is an angle bisector which also divides the triangle into two congruent right angle triangles
Find the base using trig ratio
cos(30) = 8/base
base = 16sqrt(3)/3
Area = ½ × 16sqrt(3)/3 × 8
= 36.95041723 in²
2. d1: 5 + 5 = 10
d2: 3 + 8 = 11
Area = ½ × 10 × 11
= 55 m²
