Question

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

Answer 1

Answer:

The length of AC = 25

Step-by-step 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