Question

In △PQR, QS is an altitude.

Answer 1

i have to find the value of x and y, how?

Answer 2

Use the theorems:

One: If an altitude is drawn to the hypotenuse of a right triangle, the altitude is the geometric mean between the segments of the hypotenuse.

So, 20 is to x as x is to 5

20/x = x/5

x^2 = 100

x = 10 -->The -10 root is not applicable here.

Answer 3

Theorem Two: If an altitude is drawn to the hypotenuse of a right triangle, either leg of the triangle is the geometric mean between the segment of the hypotenuse adjacent to that leg and the entire hypotenuse.

So, 20 is to y as y is to 25.

y^2 = 20*25

y = 10√5

Answer 4

thanks, that really helped, now i actually now how to do the rest