Question

What will you do if your maid's little son wants to play with you? Give
reasons for your answer.​

Answer 1

Answer:

Given:

The Base and Height of the triangle are in the ratio of 2:3. And, area of the triangle is 180 cm².

To find:

The Base and Height of triangle.

Solution: Let the Base and Height of the triangle be 2x and 3x respectively.

As we know that,

★ Area of triangle = 1/2 × (Base) × (Height) ★

Area of the triangle is given that is 180 cm². Therefore by using the formula,

\implies⟹ 108 = 1/2 × (2x) × (3x)

\implies⟹ 108 = 3x²

\implies⟹ x² = 108/3

\implies⟹ x² = 36

\implies⟹ x = √36

\implies⟹ x = 6 ★

Hence,

➠ Base of the triangle, 2x = 2 × (6) = 12 cm

➠ Height of the triangle, 3x = 3 × (6) = 18 cm

Hence, Base and Height of the triangle are 12 cm and 18 cm respectively.