Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?

Answer 1

To find the height of the dog house at its tallest point, we can use the Pythagorean theorem since it is a right-angled triangle.

Let the height be h.

Using the Pythagorean theorem:
(5 ft)^2 + h^2 = (6 ft)^2
25 + h^2 = 36
h^2 = 11
h = √11

Therefore, the height of Oscar's dog house at its tallest point is approximately 3.32 feet.