Question

Find the lengths of AC and BD​

Answer 1

Answer: AC = 15, BD = 7.2

Explanation:

Use Pythagorean Theorem to solve for AC:

AB² + BC² = AC²

12² + 9² = AC²

144 + 81 = AC²

225 = AC²

√225 = √AC²

15 = AC

To solve for BD, set up a proportion using the the small side and hypotenuse of ΔABC and ΔADB.

`(s)/(h):(9)/(15)=(BD)/(12)`

`(9(12))/(15)=BD`

7.2 = BD