Question

Given right triangle A, B, CABC with altitude start overline, B, D, end overline
BD
drawn to hypotenuse start overline, A, C, end overline
AC
. If A, B, equals, 10AB=10 and A, C, equals, 25, commaAC=25, what is the length of start overline, A, D, end overline, question mark
AD
?
A
B
D
C
10
x
25
Answer
Attempt 1 out of 2

x, equalsx=
Submit A

Answer 1

Use the altitude-to-hypotenuse relation: AB^2 = AD · AC. So AD = AB^2 / AC = 10^2 / 25 = 100/25 = 4.