The sides of a triangle are 25 cm 39 cm and 56 cm The perpendicular from the opposite vertex on the ...........

Quantitative Aptitude (CDS) Mensuration 2D

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The sides of a triangle are 25 cm, 39 cm and 56 cm. The perpendicular from the opposite vertex on the side of 56 cm is

10 cm

12 cm

15 cm

16 cm

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Explanation:

Let the perpendicular from the opposite vertex on the side of 56 cm be h cm.
Semi-perimeter of the triangle,
s=(25+39+56)/2=120/2=60 cm
Therefore, area of the triangle =
$\sqrt{60 \times (60-25) \times (60-39) \times (60-56)}$
$\sqrt{60 \times 35 \times 21 \times 4}$
=420 cm²
=> 1/2 x 56 x h =420
=> h= 15cm