Question

ratio of area of two triangles with equal heights is 2:3. if base of the smaller triangles is 6 cm then what is the corresponding base of the bigger triangles??​

Answer 1

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

answer is 9 cm

Answer 2

Given,

Area of two triangles with equal heights is 2:3. Base of the smaller triangles is 6 cm.

To Find,

Corresponding base of the bigger triangle.

Solution,

Let area be 2x and 3x.

When area is 2x

• Area = (1/2) * base * height.

==> 2x = (1/2) * 6 * h

==> 4x = 6h

==> x = 3h/2

When area is 3x.

==> 3x = (1/2) * b * h

==> 3(3h/2) = (1/2) * b * h

==> b = 9 cm

Result:

Base of bigger triangle = 9 cm.