The area of a right-angled triangle is 42 cm2. If its perpendicular is equal to 10 cm, find the length of its base.

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SSC GD Constable (2022) Official Paper (Held On : 13 Jan 2023 Shift 1)
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  1. 4.8 cm
  2. 4.2 cm 
  3. 8.4 cm
  4. 8.0 cm

Answer (Detailed Solution Below)

Option 3 : 8.4 cm
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Detailed Solution

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Given Data:

Area of the triangle = 42 cm2

Perpendicular (height) = 10 cm

Concept:

The area of a right-angled triangle is 1/2 ×  base × height. The base of the triangle can be derived by rearranging this formula.

Calculation:

Base = 2Area/Height = (2× 42 cm2)/10 cm = 8.4 cm.

Therefore, the length of its base is 8.4 cm.

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