Find AB if BC 3 BD 5 and AD 3 AB SolutionIn triangle BDC

Find AB if BC = 3, BD = 5, and AD = 3. AB =

Solution

In triangle BDC

BD²=CD²+BC²

5²=CD²+3²

CD²=16

CD=4

IN triangle BCA

AB²=BC²+ AC²

AB²= 3²+(3+4)²

AB²=9 +49

AB=sqrt 58