Question

Two sides of a triangle have lengths of 10 and 17. if the height of the triangle extends to the third side and has a length of 8, what is the length of the third side of the triangle?

Answer 1

Answer:

21

Step-by-step explanation:

You can solve this by using 2 right angle triangles.

10 and 17 are both hypotenuses. The 8 is common to both

10 and 8

Length1 = sqrt(10^2 - 8^2) = sqrt(100 - 64) = sqrt(36) = 6

17 and 8

Length2 = sqrt(17^2 - 8^2) = sqrt(289 - 64) = sqrt(225) = 15

The third side

Length3 = Length1 + Length2

Length3 = 15 + 6

Length3 = 21