Jax"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 at its tallest point?

1 answer

To solve this problem, we can use the Pythagorean theorem.

Let's call the height of the dog house "h".

Using the Pythagorean theorem:

(5)^2 + h^2 = (6/2)^2 (since the bottom of the house is 6 feet across, we can divide by 2 to get the length of half the base, which is 3 feet)

25 + h^2 = 9

Subtracting 25 from both sides:

h^2 = -16

This is not a valid solution since the height of the dog house cannot be negative.

Therefore, there is no solution to this problem as given.