Question

What are the values of s,v,w,x,y,z?​

Answer 1

Answer: s, v, w, & x = 13      y = 20        z = 20 + 13√3

Step-by-step explanation:

First, you need to understand the side lengths of each special triangle in the drawing.

A 45°- 45°- 90° triangle has corresponding sides of a - a - a√2

A 30°- 60°- 90° triangle has corresponding sides of b - b√3 - 2b

The hypotenuse of the 45-45-90 triangle is 13√2, so its legs are 13.

So A F = 13 → s = 13 and w = 13

     FB = 13 → x = 13

     EC = 13 → v = 13

Since the x-value of C is 20, then the x-value of E is also 20 → y = 20

ED is opposite of the 60° angle of the 30-60-90 triangle so ED is EC√3.  Since EC = 13, then ED = 13√3.

AE + ED = AD

20 + 13√3 = AD → z = 20 + 13√3