Question

In a triangle the height is double the base and the area is 400 cm2. Find the length of the base and height.

Answer 1

Answer:

The base of the triangle is 20 cm and it's height is 40 cm.

Step-by-step explanation:

Let the height be h and the base be b

According to the question

h = 2b

We know that area of triangle = 1/2 x b x h

Just substitute h = 2b and the value of area in the above equation and you get

400 = 1/2 x b x 2b

800 = 2b²

b² = 400

b = 20 cm

Now h = 2 x b

h = 2 x 20

h = 40 cm

Therefore the base of the triangle is 20 cm and it's height is 40 cm.

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Answer 2

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ANSWER :

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The Base of the Triangle = b

The Height of the triangle, h = 2b

The Area of the triangle, A = 400 cm^2

We know that ,

$area \: of \: triangle \: = \frac{1}{2} \times b \times h$

From this ,,,

Area , A = 1/2 × b × 2b

400 = b^2

b = ( 400)^1/2

b = 20cm

The height of the triangle, h = 2b

h = 2 × 20

h = 40 cm

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