Question

Find the lengths of AC and BD​

Answer 1

Answer:  AC = 15, BD = 7.2

Step-by-step 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.

$\dfrac{s}{h}:\dfrac{9}{15}=\dfrac{BD}{12}$

      $\dfrac{9(12)}{15}=BD$

            7.2 = BD