What is the length of side bd in the triangle above?

BD = 14

Step-by-step explanation:

Using Pythagoras' identity on Δ's ADC and ABC

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, thus

BC² + 12² = 15²

BC² + 144 = 225 ( subtract 144 from both sides )

BC² = 81 ( take the square root of both sides )

BC = = 9

and

DC² + 12² = 13²

DC² + 144 = 169 ( subtract 144 from both sides )

DC² = 25 ( take the square root of both sides )

DC = = 5

Hence

BD = BC + DC = 9 + 5 = 14

d

step-by-step explanation: