Question

ratio of areas of two Triangles with equal Heights is 2:3.If base of the smaller triangle is 6 cm then what is the corresponding base of the bigger Triangle?

Answer 1

Hey friend, Harish here.

Here is your answer:

We know that:

Ratio of Bases = Ratio of areas. (Similar Triangles)

Let the unknown base be ' x '.

Then, 

$\frac{6}{x} = \frac{2}{3}$

⇒ $x = \frac{6\times 3}{2} = 3\times 3= 9\ cm$

$\bold{Therefore\ Base\ of\ bigger\ triangle\ \ \boxed{9\ cm}}$
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Hope my answer is helpful to you.

Answer 2

Solution:-

Let the areas be 2x and 3x.

So, 2x=1/2×base×height.

height same in both case so let be h

So, 2x=1/2×6×h

Therefore x=3h/2

3x=1/2×b×h

Putting value of x,

3×3h/2=bh/2

h/2 gets cancelled,

3×3=b

=>b=9

therefore based of bigger triangle is 9 cm

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@GauravSaxena01