Question

2. Find AC. Show your work I Write your answer in the space below.​

Answer 1

The length of AC = 25

Explanation:

Triangle ABD is a right triangle and can use the Pythagorean theorem which is
`a^(2)` +
`b^(2)` =
`c^(2)`

one leg is BD = a = 12

hypothenuse is BA = c = 15

other leg is AD = b, which we need to find

`a^(2)` +
`b^(2)` =
`c^(2)`

`b^(2)` =
`c^(2)` -
`a^(2)`

`b^(2)` =
`15^(2)` -
`12^(2)`

`b^(2)` = 225 - 144

`b^(2)` = 81

b = leg AD = 9

The length of AC = AD + 16 (given in picture) = 9 + 16 = 25

I hope this helps