Question

The height and base of a triangle are in the ratio 2 ratio 5 the area of the triangle is 125 CM square find the height and base of the triangle.

Answer 1

1/2 × b h = 108

=> b h= 108×2 = 216

=> 3x.2x= 216

=> 6x^2 = 216

=> x^2 = 216/6 = 36

X=6

b= 18cm, h= 12cm

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Answer 2

Step-by-step explanation:

Given that Height (h) : Base (b) =2:5

Let the ratio be 2x/5x.

This implies Height = Base×2x/5x.......(1)

Now Area of the triangle = 1/2×base×height

or 125 = 1/2×Base×Base×2x/5x (from 1)

or 250 = Base^2×2/5

or Base^2 = 1250/2

or Base^2 = 625

or Base = √625

or Base = 25 cm.

But the Ratio of Height:Base = 2:5

This implies, that Height/25 = 2/5

or Height = 50/5

or Height = 10cm.

Therefore, Height = 10cm and Base = 25 cm.

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