Question

You have two red sticks $4$ cm long and one orange stick with a length of $6$ cm. Is it possible to construct a right triangle using these three sticks?

• A. Yes
• B. No
• C. I don't know

Answer 1

The correct option is B No

Concept: For a right triangle,
Value of lengrh longest side multiplied with itself = sum of length of smaller sides multiplied with itself.

The length of our longest stick is $6$ cm, multiplying it by itself, we have $=6\times 6=36c{m}^2$

The smaller sticks have length $=4cm$
On multiplying length of one sticks with itself, we get $=4\times 4=16c{m}^2$

Now, Sum of length of both sticks multplied by itself is $16+16=32c{m}^2.$

$\because 36c{m}^2\ne 32c{m}^2$

This does not satisfy the condition of a right triangle.

Value of length of longest side multiplied with itself is not equal to the sum of length of both sides multiplied by itself.

So, we can't have a right triangle with these dimensions. It will become an incomplete figure.