Question

Ratio of areas of two triangles is 2 : 3. Base of smaller triangle is 5 cm and height is 6 cm. If base of other triangle is 9 cm then find the height of the triangle​

Answer 1

As We know that Ratio of areas of two triangles is 2 : 3.

• Base of smaller triangle is 5 cm and height is 6 cm.
• If base of other triangle is 9 cm.

Let the height of the other triangle be x.

→ (½×5×6)/(½×9×x) = 2/3

→ 15/(9x/2) = 2/3

→ 30/9x = 2/3

→ 30/3x = 2

→ 30/6 = x

→ x = 5

Hence,

The Height of the other triangle will be 5 cm.

Answer 2

Answer:

As We know that Ratio of areas of two triangles is 2 : 3.

• Base of smaller triangle is 5 cm and height is 6 cm.
• If base of other triangle is 9 cm.

Let the height of the other triangle be x.

→ (½×5×6)/(½×9×x) = 2/3

→ 15/(9x/2) = 2/3

→ 30/9x = 2/3

→ 30/3x = 2

→ 30/6 = x

→ x = 5

Hence,

The Height of the other triangle will be 5 cm.