Question

the sides of a triangle are 3 4 5 respectively. find the perpendicular distance from the vertex opposite to the side 3cm

Answer 1

Step-by-step explanation:

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Answer 2

Now we have,

ΔABC=ΔPBC+ΔPAB+ΔPAC

=12PD.AC+12PE.AB+12PF.AC

=L2(PD+PE+PF)

=L2(3+4+5)=6L cm2.

Now, since ΔABC is an equilateral triangle with side L , its area is given by the formula 3√4L2 .

So 3√4L2=6L .

⟹L=83–√

Hence the area of the given equilateral triangle is 48 3–√ cm2 .

Hope it helps

Peace!!