Question

Is it possible to construct a right triangle with the help of sticks of length $12\text{cm},13\text{cm}\&5\text{cm}$.

• A. Yes
• B. No
• C. I don't know

Answer 1

The correct option is A Yes

Concept: In a right triangle, the sum of the two sides multiplied by themselves is equal to the largest side multiplied with itself.

Let's see if this holds good for our triangle.

So we have two sides $12$, and $5$ while the largest side is $13$.

The smaller sides multiplied by themselves are:

$12\times 12=144$

$5\times 5=25$

Sum of these is $144+25=169$

And, the largest side multiplied with itself is $13\times 13=169$

So, $144+25=169$

Thus, this is a right triangle.