Question

Which side lengths form a right triangle? Choose all answers that apply: Choose all answers that apply: (Choice A) A \sqrt4, 10, 116 4 ? ,10,116 (Choice B) B 3, 6, 83,6,8 (Choice C) C 30, 40, 5030,40,50

Answer 1

(C)

Explanation:

In order to find whether the given side lengths form a right triangle or not, we must show that it satisfies the Pythagoras theorem.

A.
`√(4)`, 10 and 116

According to Pythagoras theorem,

⇒
`(116)^2=4+100`

⇒
`13456=104`

which does not satisfy the condition, therefore these side lengths do not form a right triangle.

B. 3,6 and 8

According to Pythagoras theorem,

⇒
`(8)^(2)=(3)^2+(6)^2`

⇒
`64=9+36`

⇒
`64=45`

which does not satisfy the condition, therefore these side lengths do not form a right triangle.

C. 30, 40 and 50

According to Pythagoras theorem,

⇒
`(50)^(2)=(30)^2+(40)^2`

⇒
`2500=900+1600`

⇒
`2500=2500`

which satisfies the condition, therefore theses side lengths form right triangle.