Question

How do I find X thanks​

Answer 1

x = 60

Explanation:

By applying mean ratio theorem in the given right triangles ΔABC and ΔBDC,

`(AD)/(BD)=(BD)/(DC)`

BD² = AD × DC

BD² = 36 × 64

BD =
`√(36* 64)`

BD = 48

By applying Pythagoras theorem in right triangle ΔADB,

AB² = AD² + BD²

x² = (48)² + (36)²

x² = 3600

x = 60