Question

Jeremy is trying to explain why a triangle with side lengths 35, 30, 60 is not a right triangle. His explanation is shown below.

Answer 1

C. Jeremy’s explanation is inaccurate. He incorrectly combined terms in step 2.

Step-by-step explanation:

When Jeremy combined terms in the second step, he added 35 and 30, and then squared. You are supposed to square each number and then add the products.

Answer 2

To test whether he given dimensions can form a right angle, we use the Pyhtagorean theorem. This is given by
c^2=a^2+b^2
where:
c=hypotenuse (which is the longest side)
a and b are the legs
thus plugging our values in the expression we shall have:
60^2=35^2+30^2
simplifying this we get:
60^2=3600
35^2+30^2=2125
since
3600≠2125
we conclude that the dimensions cannot form a right triangle