Answer:
9.92 cm
Step-by-step explanation:
<u>Given:</u> ∆ABC,
CD ⊥ AB,
AC = BC,
Area of ABC = 32 cm2,
m∠A = 72°
<u>Find:</u> CD
<u>Solution: </u>
Triangle ABC is isosceles triangle with base AB, because AC = BC. In isosceles triangle angles adjacent to the base are congruent. So,
The sum of the measures of all interior angles is 180°, thus
The area of the triangle ABC is
Consider right triangle ACD. In this triangle,