In A Right Angled Triangle Base =12cm And Hypotenuse =15 CM Find The Perpendicular

Given: 

In A Right Angled Triangle Base =12cm And Hypotenuse =15 CM

To do:  Find The Perpendicular.

Solution:

Base  =  $12$ cm

Hypotenuse  = $15$ cm

Perpendicular height = ?

Since, it is a right angle triangle apply Pythagoras theorem,

$Base^ 2   +   height^ 2   =  Hypotenuse^2$    

$12^2   +    height^ 2   =  15^ 2   $

$144  +   height^ 2   =  225$                                     [12 $\times$12 = 144 ; 15 $\times$ 15 = 225]

 $height^2   =  225  -  144$

 $ height^ 2   =   81$

$  height    =  √81$

$  height     =   9$

So, height of  perpendicular is 9 cm

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Updated on: 10-Oct-2022

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