Question

Which of the following combination of measurements can be used to make right-angled triangle?

Dimensions are given in same length unit.

• A. $21,20,29$
• B. $12,13,5$
• C. $3,5,7$
• D. $4,5,6$

Answer 1

Answer: (A), (B)

$12,13,5$

In right angled triangle, the sum of squares of base and height is equal to the square of hypotaneous.

Lets check all the options.

In$\left(a\right)$, ${21}^2+{20}^2=841={29}^2$ = square of third side

In$\left(b\right)$, ${12}^2+5^2=169={13}^2$ = square of third side

So, both the combination of measurements can be used to make right angled triangle.

In$\left(c\right)$, $3^2+5^2=34\ne 7^2$

Also, in$\left(d\right)$, $4^2+5^2=41\ne 6^2$

So, option$\left(a\right)$ and $\left(b\right)$ correct.