Question

Can someone help me? please and thank you. Find the value of x. Leave your answer in simplest radical form.

Answer 1

√61

Explanation:

using Pythagorean theorem,

h²+b²=hy²

h²+b²=hy²4²+2²=hy²

h²+b²=hy²4²+2²=hy²16+4=20

h²+b²=hy²4²+2²=hy²16+4=20hy²=20

therefore in radical form, Hy=√20

with the same theorem;

h²= hy²-b²

b² is initially given as (√20)²

hy² is given as 9²

h²=9²-(√20)²

h²=81-20

h²=61

h=√61