Answer:
a = 20, b = 8
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
(1)
a² + 15² = 25²
a² + 225 = 625 ( subtract 225 from both sides )
a² = 400 ( take the square root of both sides )
a = [tex]\sqrt{400}[/tex] = 20
(2)
b² + 6² = 10²
b² + 36 = 100 ( subtract 36 from both sides )
b² = 64 ( take the square root of both sides )
b = [tex]\sqrt{64}[/tex] = 8
