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Mathematics

The area of a triangle is 37.5 cm2. If its base is 12.5 cm; the corresponding altitude is :

  1. 3 cm

  2. 25 cm

  3. 6 cm

  4. 12 cm

Mensuration

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Answer

Given:

Area = 37.5 cm2

Base = 12.5 cm

Let h be the altitude of triangle.

Area of triangle = 12\dfrac{1}{2} x base x altitude

⇒ 37.5 = 12\dfrac{1}{2} x 12.5 x h

⇒ h = 37.5×212.5\dfrac{37.5 \times 2}{12.5}

⇒ h = 7512.5\dfrac{75}{12.5}

⇒ h = 6 cm

Hence, option 3 is the correct option.

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