Question

Analyze the diagram below and complete the instructions that follow.

Find the value of x and the value of y.

A. x=9, y=18√2

B.x=18, y=18

C.x=9√2, y=18√2

D. x=9√3, y=18

Answer 1

D. x = 9√3 and y = 18

Explanation:

This is an isosceles triangle divided into two equal parts.

Step 1: 18 can be divided into 2 parts which makes the base of both triangles 9.

Step 2: Find the value of x

The value of x can be found through the tan rule.

tan (angle) = opposite/adjacent

tan (60) = x/9

√3 = x/9

x = √3 x 9

x = 9√3

Step 3: Find the value of y

The value of y can be found through the cos rule.

Cos (angle) = adjacent/hypotenuse

Cos (60) = 9/y

1/2 = 9/y

y = 18

Therefore, the correct answer is D; x = 9√3 and y = 18

!!