Question

Which measures would be the side lengths of a right triangle?
A. 2 cm, 5 cm, 7 cm
B. 9 cm, 14 cm, 17 cm
C. 7 cm, 17 cm, 24 cm
D. 5 cm, 12 cm, 13 cm

Answer 1

Check it with the pythagorean theorem:

\(\Large \color{MidnightBlue}{\Rightarrow a^2 + b^2 = c^2 }\)

Note that the largest side would be c(hypotenuse as it is called)

Answer 2

ok so i work all of them out how do i find out with on is the answer

Answer 3

Try to check all if they satisfy the equation. I'll do one for you.

\(\Large \color{MidnightBlue}{\Rightarrow 2^2 + 5^2 = 7^2 }\)
\(\Large \color{MidnightBlue}{\Rightarrow 4 + 25 \ne 49 }\)

First is not the answer.

Answer 4

what do you mean by satisfy the equation ???

Answer 5

@ipm1988 Don't give the answer please, let the asker work on it.

Answer 6

If the left hand side is equal to right hand side, then they may be the lengths of a right angled triangle.

Answer 7

if it satisfy pythagorean theorem therefore it is a right triangle
where c is the longest and a and b is the legs
c^2=a^2 +b^2

Answer 8

basically if A²+B² is equal to C² you have a right angled triangle

Answer 9

o ok thanks guys

Answer 10

@Sup_open~study D is the answer
\[5^{2}+12^{2}\] = 169
sqrt(169)= 13

Answer 11

yay i got it right thanks :)