You help your dad build a dog house for your dog. You tell him that it would be easy to build a dog house in the shape of a tent
. The slanted sides are 5 feet long and the bottom of the house is 8 feet across. You draw him the following illustration to help him find the height of the dog house. What do you tell him the height of the dog house is?
3 feet tall If it is in the shape of a tent and the floor is 8 feet across half of it cut down the middle would be 4 ft, you create a right triangle and can use the Pythagorean theorem to solve for the height. 5 is the hypotenuse and 4 is a leg. a^2 + b^2 = c^2 Plug in the values known 4^2 +b^2 = 5^2 simplify 16+b^2=25 subtract 16 from both sides b^2=9 take the square root of both sides b=3 the hight is 3 ft
