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

Answer:

(C)      

Step-by-step 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. $\sqrt{4}$, 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.