Question

if the base and altitude of a triangle are doubled what will be happen to its area

Answer 1

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We know that, the base and altidute of a triangle are doubled.

Let us assume the base of triangle = 2 B

and the crossponding altitudes = 2 A

Area of triangle = 1/2 × base × crossponding altitudes

Putting values = 1/2 × 2 B × 2 A

= 1/2 × 4 AB

= So the area of triangle will increase 2 times or the area of triangle will be double.

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Answer 2

Let us take 2 as the base and 4 as the altitude(for example)

Now,

Area of the triangle=1/2×base×height

=1/2×2×4

=4

Let the base and height doubled,

A/Q:-

Area of the triangle=1/2×4×8

=2×8

=16

As we observed if we doubled the base and height of the triangle,the resultant area become the square of the original area as 4^2=16

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