Answer:
X= 5cm
Y=15cm
Explanation:
Using by Pythagoras theorem .
The following relation hold for the dimensions of the triangle;
(Hypotenuse)²=(height)²+(base)²
=> H²=h²+b²
On first triangle the unknown X is the hypotenuse, therefore
X² = 3²+4²
=9+16
x² =25
X=√25
X=5cm
On the second triangle, the unknown Y is the height which is given by ;
h²=H²-b²
=>. Y²= 25²-20²
625-400
Y= √225
=15cm