Question

if two perpendicular side of a right angle triangle are 5 cm and 12 CM its perimeter is ________​

Answer 1

Given:

If two perpendicular sides of a right angle triangle are 5 cm and 12 CM its perimeter is?

To find:

The perimeter

Solution:

Let's say Δ ABC is the right-angled triangle where

AB = 12 cm and BC = 5 cm → are the two perpendicular sides of the triangle

AC → the hypotenuse of the triangle

By using the Pythagoras Theorem, we get

$\boxed{\bold{AC^2 = AB^2 + BC^2}}$

on substituting the given values, we get

$\implies AC^2 = 12^2 + 5^2$

$\implies AC = \sqrt{144 + 25}$

$\implies AC = \sqrt{169}$

$\implies AC = 13\:cm$

Now,

The perimeter of Δ ABC is,

= Sum of all the 3 sides

= AB + BC + AC

= 12 + 5 + 13

= 30 cm

Thus, the perimeter of the right-angled triangle is → 30 cm.

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Also View:

In a right-angled triangle, find the length of the hypotenuse, if the other two sides measure 12 cm and 35 cm?

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In a right-angled triangle, one side is equal to 15 CM and the other equal to 20cm. Find out the length of the hypotenuse side.

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