Question

A triangle has side lengths of 7 in., 9 in., and 11 in.

Determine whether this is a right triangle and why.

Answer 1

A triangle with side lengths of 7 in., 9 in., and 11 in. is not a right triangle.

Step-by-step explanation:

A right triangle has one angle that is 90 degrees. To determine if a triangle is right, we can apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Let's calculate the squares of the side lengths in the given triangle:

Side a: 72 = 49

Side b: 92 = 81

Side c: 112 = 121

If the sum of the squares of the two shorter sides is equal to the square of the longest side, then the triangle is right. In this case, 49 + 81 = 130, which is not equal to 121. Therefore, the triangle with side lengths 7 in., 9 in., and 11 in. is not a right triangle.

Answer 2

The answer is B because when you Multiply 7 to the power of 2 its automatically greater than the actual answer and obviously the 9 to the power of 2 already is a lot greater than 11 times 11.