Answer:
50 cm
Step-by-step explanation:
The altitude from the vertex to the base bisects the base and divides the triangle into 2 right triangles.
Using one of the right triangles with legs 8 and 15 , then hypotenuse h is
h² = 8² + 15² = 64 + 225 = 289 ( take the square root of both sides )
h = [tex]\sqrt{289}[/tex] = 17
The 2 congruent sides of the isosceles triangle are 17 cm
Then the perimeter P is
P = 17 + 17 + 16 = 50 cm
