Question

In a triangle the height is double the base and the area is 400 cm square . Find the lenght of the base and height full process

Answer 1

Answer:

Base= 20 cm

Height = 40 cm

Step-by-step explanation:

area of a triangle = 1/2 * base * height

given,

area = 400 cm sq

let base = b cm and height =  h cm

also given,

height = 2 * base

therefore, h = 2 * b

area = 1/2 * b * h

400 = 1/2 * b * 2b

400 * 2 = 2 * b sq

400 * 2 / 2 = b square

400 = b square

under root  400 = b

20 cm = b

height = 2*b

h = 2* 20 = 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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