Question

Which of the following measurements could be the side lengths of a right triangle?

A. √108 in, √72 in, √192 in
B. √96 in, √24 in, √120 in
C. √132 in, √24 in, √120 in
D. √168 in, √72 in, √84 in

Answer 1

Answer:

• B. √96 in, √24 in, √120 in

Step-by-step explanation:

Use Pythagorean to verify:

The square of the two smallest lengths is same as the square of the largest side

• A. 108 + 72 = 180 ≠ 192, no
• B. 96 + 24 = 120, yes
• C. 132 - 24 = 108 ≠ 120, no
• D. 168 - 72 = 96 ≠ 84, no

Correct choice is B

Answer 2

Answer:

Option B

Let's verify

• P²+B²=H²
• (√96)²+(√24)²=(√120)²
• 96+24=120

Yes verified