Question

What is the length of AC?
PLEASE HELP

Answer 1

D. 136

Explanation:

Since these two triangles are similar by AA:

`(51)/(3)=(144-x)/(x) \\\\17=(144-x)/(x) \\\\17x=144-x \\\\18x=144 \\\\x=8 \\\\AC=144-x=144-8=136`

Hope this helps!

Answer 2

136

Explanation:

The triangles are similar so we can use ratios

3 x

----- =-------

51 144-x

Using cross products

3(144-x) = 51x

Distribute

432 - 3x = 51x

Add 3x to each side

432 = 54x

Divide each side by 54

432/54 = 54x/54

8 = x

We want the length of AC

AC = 144-x

= 144-8

=136