Question

the height of two triangles are 4 and 6 with equal bases find the ratio of area of these triangle
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Answer 1

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Step-by-step explanation:

Given :-

if two triangle with equal height

i.e h1 = h2 = h

Base of first triangle b1 = 4cm

Base of second triangle b2 = 6cm

We know that :-

The area of the triangle is = 1/2 x base x Height

Solving :-

Let ∆1 be the area of first triangle and ∆2 be the area of the second triangle then

Now substitute area of triangle in the form of ratio we get :-

∆1 = 1/2 x 4 x h : ∆2 = 1/2 x 6 x h

=> ∆1 = 4h/2 : ∆2 = 6h/2

=> ∆1 = 2h : ∆2 = 3h

=> ∆1 : ∆2 = 2:3

Conclusion :-

Therefore the area of the two triangles are in the ratio 2:3

Step-by-step explanation: