Question

The front of a dog house is in the shape of a isosceles triangle. If the sides measuring 4 feet and the base of the house is 6 feet long. Find the height of the doghouse.

Answer 1

Answer:
`√(5)` feet

Step-by-step explanation: Since it's an isosceles triangle, we can split it into two right triangles. Now we have two right triangles with a hypotenuse of 4 and one side length of 3. To solve for the other side length (the height), we can use the Pythagorean theorem.
`4^(2) = 3^(2) + h^(2)` where h is the height of the dog house. Solving for h, we get the answer of
`√(5)` feet