Question

if two perpendicular sides of the right angled triangle are 3&4 then find the length of third side​

Answer 1

given two sides of a right angled triangle are 3cm and 4 cm .

by using Pythagoras theorem,

hypotenuse square =side square + side square .

other side=

\begin{gathered} \sqrt{ {3}^{2} + {4}^{2} } \\ = \sqrt{9 + 16 } \\ = \sqrt{25} \\ = 5\end{gathered}

therefore third side is equal to 5

Answer 2

Answer:

Given

2 perpendicular sides are 3&4 respectively

also it's right angled triangle, therefore those sides are the base and altitude respectively.

For finding the hypotenuse (opposite side of the right angle)

We've to use Pythagorean Theorem

that is

Hypotenuse²=base²+altitude²

Hypotenuse²=3²+4²

Hypotenuse²=9+16=25

Hypotenuse=√25=5

therefore the third side is 5 cm

hope it helps