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

Answer:

The given triangle is a right angled triangle .

Step-by-step 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 .

Answer 2

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