The base and height of a triangle are in the ratio 2 - 3 and its area is 300 m- Find the height of the triangle-

Let the base of the triangle be 2k nbsp;and height be 3k. Area of a triangle = nbsp;1/2 x base x height So, = gt; Area of the triangle = 1/2 x 2k x 3k = ...

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Standard IX

Mathematics

Area of a Triangle

The base and ...

Question

The base and height of a triangle are in the ratio 2 : 3 and its area is 300 m². Find the height of the triangle?

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Solution

Let the base of the triangle be 2k and height be 3k.

Area of a triangle = 1/2 x base x height
So,
=> Area of the triangle = 1/2 x 2k x 3k = 3 (k^2)
=> 300 = 3 (k^2)
=> k^2 = 100
=> k = 10

Therefore, height of the triangle = 3k = 3 x 10 = 30 cm.

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The base and height of a triangle are in the ratio 2 : 3 and its area is 300 m². Find the height of the triangle?

Let the base of the triangle be 2k and height be 3k. Area of a triangle = 1/2 x base x height So, => Area of the triangle = 1/2 x 2k x 3k = 3 (k^2) => 300 = 3 (k^2) => k^2 = 100 => k = 10 Therefore, height of the triangle = 3k = 3 x 10 = 30 cm.

Let the base of the triangle be 2k and height be 3k.

Area of a triangle = 1/2 x base x height
So,
=> Area of the triangle = 1/2 x 2k x 3k = 3 (k^2)
=> 300 = 3 (k^2)
=> k^2 = 100
=> k = 10

Therefore, height of the triangle = 3k = 3 x 10 = 30 cm.