Question

A triangle has side lengths of 54, 72 & 90. Is it a right triangle? Explain.

No, there always has to be an odd number for it to work out to be a right triangle.
No, it is obtuse.
No, it is acute.
Yes, the Pythagorean Theorem works out to be equal.
Yes, because 52 + 72 > 90.

Answer 1

Answer: C: Yes, the Pythagorean Theorem works out to be equal.

Explanation:

to test if a triangle is right angled or not, just use the Pythagorean Theorem:

a²+b²=c², where a and b are the two shorter sides of the triangle, and c is the longest side.

plugging this in:

54²+72² ?= 90²

2916 + 5184 ?= 8100

8100 = 8100

Yes! Its correct, so we know that this triangle is a right triangle. the justification is C: Yes, the Pythagorean Theorem works out to be equal.