Question

If the area of a triangle is 1176 cm2 and base and height are in ratio of 3:4 then what is height of triangle?

Answer 1

Area of triangle = 1176

1/2 x base x height = 1176

1/2 × 3x  × 4x = 1176

6 x² = 1176

x ²  = 196

So

x = 14

Height = 4 x = 4 x 14 = 56 cm

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

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To Find :

• The Base and Height of triangle.

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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