Question

find the height of triangle whose base is 15cm and area is 120cmsqare

Answer 1

We know that area of a triangle is equal to 1/2 * b* h.

So,

A=1/2 * b* h

Here,

120=1/2 * 15 * h

So , h=120*2/15

H= 16.

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Hope you understood it...

Answer 2

From mensuration, we know that the area of any triangle is the half of the product of its height( perpendicular ) and its base.

Mathematically,

$\mathsf{ \boxed{\texttt{ Area of triangle = 1 / 2 x height x base }}}$

In the given question,

base of the triangle = 15 cm

Area of the triangle = 120 cm^2

  Applying the formula given above

$\implies 120\:cm^2 = \dfrac{1}{2}\times 15\:cm \times height\\\\\\\implies \dfrac{120\:cm^2 \times 2}{15\:cm} = height\\\\\\\implies 8\:cm \times 2 = height\\\\\implies16 \:cm = height$

Therefore, height of the given triangle is 16 cm.