Question

The base and height of the triangle are in the ratio 3 : 2. If the area of the triangle is 243 cm2 find the base and height of the triangle.

Answer 1

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Answer 2

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)

→ 108 = 1/2 × (2x) × (3x)

→ 108 = 3x²

→ x² = 108/3

→ x² = 36

→ x = √36

→ x = 6

Hence,

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

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