Question

The hypotenuse of a right triangle is $13cm$ long. If one of the remaining two sides is of length $5cm$, then find the length of another side.

Answer 1

Given that,

Hypotenuse$=13$cm

Length(perpendicular)$=5$cm

Another side$=?$

Let the another side $=$ Base

So,

By Pythagoras theorem, in a right triangle,

$H^2=L^2+B^2$

${13}^2=5^2+B^2$

$169-25=B^2$

$B^2=144$

$B=12$

Hence, the another side $=12$ cm.