Question

Find x and y in the following figures

Answer 1

x = 15 , y = 21

Explanation:

using Pythagoras' identity

in Δ ABD

x² + 8² = 17²

x² + 64 = 289 ( subtract 64 from both sides )

x² = 225 ( take square root of both sides )

x =
`√(226)` = 15

in Δ ADC

8² + DC² = 10²

64 + DC² = 100 ( subtract 64 from both sides )

DC² = 36 ( take square root of both sides )

DC =
`√(36)` = 6

then

y = x + DC = 15 + 6 = 21