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The area of a triangle is 280 cm2. The ratio of its height to its base is 7:5. Find the length of its height (in cm)?


1. 32
2. 28
3. 20
4. 24

1 Answer

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Correct Answer - Option 2 : 28

Given:

Area of triangle = 280 cm2

Ratio of height to its base = 7:5

Formula Used:

Area of triangle = ½ × Base × Height

Calculation:

Suppose, the base and height of the triangle is 5x and 7x, respectively.

Area of Triangle = ½ × 5x × 7x

⇒ 280 = ½ × 35x2

⇒ 35x2 = 560

⇒ x2 = 16

⇒ x = √16

⇒ x = 4

∴ The length of height of triangle = 7x = 28 cm

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