The isosceles triangle divided the base in half and created 2 congruent right triangles. The base of isosceles triangle = 8, so the leg of each right triangle = 8/2 = 4 The leg of isosceles triangle = 17. It's the hypo. of right triangle so x^2 = 17^2 - 4^2 x^2 = 289 - 16 x^2 = 273 x = √273 x = 16.5
Answer Height of the isosceles triangle = 16.5 <span />