Question

Which of the following side lengths form a right triangle?

$6cm,8cm,9cm.$

Answer 1

Verify that given side lengths are sides of right angled triangle

According to “Pyhtagoras Theorem”, “The square of largest side of right angles triangle is always equal to the sum of square of other two sides”

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

Now,

$$\begin{gathered} \Rightarrow 9^2=8^2+6^2 \\ \Rightarrow 81=64+36 \\ \Rightarrow 81\ne 100 \end{gathered}$$

Final Answer: Since, above lengths are not satisfying the Pythagoras theorem, therefore these lengths are not the sides of right triangle.