Question

Which of the following side lengths form a right triangle?

$26cm,24cm,10cm$

Answer 1

Verify the given sides as sides of right angled triangle

According to “Pythagoras Theorem", "The square of largest side of right angled triangle is equal to the sum of square of other two sides”

So, lengths of right angled triangle should satisfy the Pythagoras theorem.

Now,

$$\begin{gathered} \Rightarrow {26}^2={24}^2+{10}^2 \\ \Rightarrow 676=576+100 \\ \Rightarrow 676=676 \end{gathered}$$

Since, above lengths are satisfying the Pythagoras theorem, therefore these lengths are the sides of right triangle.