Question

Holly and Tamar completed the work in the table to determine if a triangle with side lengths of 40, 42, and 58 is a right triangle.

Answer 1

Simple Pythagorean theorem, And if you double check Tamara's work she is correct. Therefor B is the correct answer. 

Answer 2

The given triangle is a right angled triangle .

Explanation:

Given : Side Lengths of Triangle are 40,42 and 58

To Find: To determine if a triangle with side lengths of 40, 42, and 58 is a right triangle.

Solution:

To check whether the given triangle is a right angled triangle or not we will use Pythagorean theorem .

`Hypotenuse^(2) =Perpendicular^(2) +Base^(2)`

Hypotenuse = Longest Side = 58

`58^(2) =40^(2) +42^(2)`

`3364=1600+1764`

`3364=3364`

Hence proved

So, the given triangle is a right angled triangle .