Question

iven 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, D, equals, 1AD=1 and A, C, equals, 4, commaAC=4, what is the length of start overline, A, B, end overline, question mark
AB
?
A
B
D
C
x
1
4
Answer
Attempt 1 out of 2

x, equalsx=

Answer 1

Use the altitude-to-hypotenuse theorem (similar triangles): AB^2 = AC · AD.
So AB^2 = 4·1 = 4, hence AB = sqrt(4) = 2.