Question

The base and height of triangle are in the ratio 2:3.If the area of a triangle is 180 cm2,find its base and height.​

Answer 1

Answer:

let 2x. 3x mark as BRAINLIST

Answer 2

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,⟹ 108 = 1/2 × (2x) × (3x)

⟹ 108 = 3x²

⟹ x² = 108/3

⟹ x² = 36

⟹ x = √36

⟹ 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.