Question

Jared needs to create a right triangle to add support to the side of this farm. he buys 3 pieces of wood of length 8 ft, 11 ft, and 15 ft. did jared pick the correct sizes in order to create a right triangle, and why?

Answer 1

Jared did not pick the correct sizes to create a right triangle as the sum of the squares of the two shorter sides is not equal to the square of the longest side.

Step-by-step explanation:

In order to determine if Jared picked the correct sizes to create a right triangle, we need to use the Pythagorean theorem. According to this theorem, in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse). Let's check if this is true with the given side lengths.

Squared lengths: 8 ft = 64 ft2, 11 ft = 121 ft2, 15 ft = 225 ft2

Using the Pythagorean theorem, we compare the sum of the squares of the two shorter sides to the square of the longest side:

82 + 112 = 64 + 121 = 185, which is not equal to 152 = 225.

Therefore, Jared did not pick the correct sizes to create a right triangle as the sum of the squares of the two shorter sides is not equal to the square of the longest side.