Question

in triangle abc ab=7.2cm bc ,=4.8 cm am Perpendicular to bc and cl Perpendicular ab if cl =4 cm find AM
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Answer 1

The Perpendicular AM is 6 cm.

Step-by-step explanation:

Given :

In Δ ABC

AB = 7.2 cm

BC = 4.8 cm

CL = 4 cm

AM ⊥ BC

CL ⊥ AB

To Find:

AM = ?

Solution:

We Know that

$\textrm{Area of Triangle}=\frac{1}{2}\times Base\times Height$

So now we will have Same area of triangle with different Base -Height

$\textrm{Area of Triangle ABC}=\textrm{Area of Triangle ABC}\\\frac{1}{2}\times BC\times AM=\frac{1}{2}\times AB\times CL$

Substituting the given values we get

$\dfrac{1}{2}\times 4.8\times AM=\dfrac{1}{2}\times 7.2\times 4\\\\AM=\dfrac{28.8}{4} =6\ cm\\\therefore AM =6\ cm$