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. [tex]\sqrt{4}[/tex], 10 and 116
According to Pythagoras theorem,
⇒[tex](116)^2=4+100[/tex]
⇒[tex]13456=104[/tex]
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,
⇒[tex](8)^{2}=(3)^2+(6)^2[/tex]
⇒[tex]64=9+36[/tex]
⇒[tex]64=45[/tex]
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,
⇒[tex](50)^{2}=(30)^2+(40)^2[/tex]
⇒[tex]2500=900+1600[/tex]
⇒[tex]2500=2500[/tex]
which satisfies the condition, therefore theses side lengths form right triangle.
