Question

area of triangle is 84sq.m. base of triangle is 12 metre find the height of the triangle

Answer 1

Given:

The area of the triangle is 84 m sq.

The base of the triangle is 12 m

To find:

The height of the triangle

• The formula used to find the area of the triangle, when base and height is given-

1/2 *  base * height unit sq.

∴ We can find the value of the height of the triangle by using the formula of the area of the triangle.

⇒ 1/2 * 12 * height = 84

⇒ 6 * height = 84

⇒ height = 84 ÷ 6

⇒ height = 14

∴ Height = 14 m

Hence,

The height of the triangle is 14m.

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More Information,

• When the sides of a triangle are given we can use 'Heron's formula' to find the area of the triangle.

$\boxed{\red{\sqrt{S(S-a)(S-b)(S-c)}}}$ units sq.

Here S = half of the perimeter and a, b, c are the sides of the triangle.

Answer 2

Answer:

1/2*base*height

1/2*12*h

1*6*h

6*h=84

h=84/6

h=14

height=14

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