Question

The base of triangle is 15cm and height is twice its base. If the area of the triangle is 360 cm2 find the base and height of the triangle.

Answer 1

Answer:

base of triangle is 180

height of the triangle is 360

Step-by-step explanation:

let the base of triangle is x

360 = 1/2*x*2x

2x = 360

x = 180

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