Question

1. A right triangle has legs measuring 7 inches and 9 inches. What is true about the hypotenuse? *

The hypotenuse is about 11 inches and is less than the legs
The hypotenuse is about 5 inches and is less than the legs
The hypotenuse is about 5 inches and is greater than the legs
The hypotenuse is about 11 inches and it is greater than the legs

Answer 1

Answer: The hypotenuse is about 11 inches and it is greater than the legs

Explanation:

Hi, we have to apply the Pythagorean Theorem:

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle (the longest side) and a and b are the legs.

Replacing with the values given:

c^2 = 7^2 + 9^2

c^2 = 49+81

c^2 = 130

c = √130

c = 11.40 inches

The hypotenuse is about 11 inches and it is greater than the legs

11.40>7 ; 11.40 >9

Feel free to ask for more if needed or if you did not understand something.