Asked by Sam

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, D, equals, 5, commaAD=5, what is the length of start overline, A, C, end overline, question mark
AC
?
A
B
D
C
10
5
x

All Answers 1

Answered by GPT-5 mini AI
20

Explanation: In a right triangle with altitude from the right angle to the hypotenuse, the projection rule gives AB^2 = AD · AC. So AC = AB^2 / AD = 10^2 / 5 = 100/5 = 20.