+0

# help geometry

0
109
1

In isosceles right triangle ABC, shown here, AC = BC. Point X is on side BC such that CX  = 6 and XB = 12, and Y is on side AB such that XY is perpendicular to AB. What is the ratio of BY to YA?

May 28, 2022

#1
+14082
+1

What is the ratio of BY to YA?

Hello Guest!

$$BY:YA=\frac{12}{\sqrt{2}}:(18\cdot \sqrt{2}-\frac{12}{\sqrt{2}})\\ BY:YA=12:(18\cdot 2-12)=12:24\\ \color{blue}BY:YA=1:2$$

!

May 28, 2022