contestada

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.

Respuesta :

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

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 .

[tex]Hypotenuse^{2} =Perpendicular^{2} +Base^{2}[/tex]

Hypotenuse = Longest Side = 58

[tex]58^{2} =40^{2} +42^{2}[/tex]

[tex]3364=1600+1764[/tex]

[tex]3364=3364[/tex]

Hence proved

So, the given triangle is a right angled triangle .