Question

The side of certain triangles are given below. Determine which of them are right triangles :
(i) $a=6cm,b=8cm,andc=10cm$
(ii) $a=5cm,b=8cm,andc=11cm$

Answer 1

(i) We have,
$a=6cm,b=8cm$ and $c=10cm$

Here, the larger side is $c=10cm.$

we have, $a^2+b^2=6^2+8^2=36+64+100=c^2$

So, the triangle with the given sides is a right angle triangle.

(ii) Here, the larger side is $c=11cm.$

Clearly, $a^2+b^2=25+64=89\ne c^2$

So, the triangle with the given sides is not a right angle triangle.