Question

PY=2, HP=3, find HY

Geometry

Answer 1

`HY=√(5)\ units`

Explanation:

we know that

The triangle HPY is a right triangle (because the angle ∠HYP is a right angle)

Applying the Pythagorean Theorem

`HP^2=HY^2+PY^2`

substitute the given values

`3^2=HY^2+2^2`

Solve for HY

`9=HY^2+4`

`HY^2=9-4`

`HY^2=5`

`HY=√(5)\ units`