Answer:
x = 9
Explanation:
using Pythagoras' identity in right triangle BCD
BC² + CD² = BD²
BC² + 6² = 10²
BC² + 36 = 100 ( subtract 36 from both sides )
BC² = 64 ( take square root of both sides )
BC =
= 8
using Pythagoras' identity in right triangle ABC
AC² + BC² = AB²
AC² + 8² = 17²
AC² + 64 = 289 ( subtract 64 from both sides )
AC² = 225 ( take square root of both sides )
AC =
= 15
Then
x + 6 = 15 ( subtract 6 from both sides )
x = 9