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Heer Narayan
Asked: 2022-11-10T14:23:59+05:30 In:

A triangle and a parallelogram are constructed on the same base such that their area is the same. If the altitude of the parallelogram is 100 cm, then find the altitude of the triangle.
1. 200√2 cm
2. 220 cm
3. 200 cm
4. 240 cm

A triangle and a parallelogram are constructed on the same base such that their area is the same. If the altitude of the parallelogram is 100 cm, then find the altitude of the triangle.
1. 200√2 cm
2. 220 cm
3. 200 cm
4. 240 cm
Spectroscopy
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1 Answer

  1. Correct Answer – Option 3 : 200 cm

    GIVEN:

    the altitude of the parallelogram = 100 cm

    FORMULA USED:

    Area of the parallelogram = (Base × Altitude) sq. unit and Area of triangle = (1/2 × Base × Altitude) sq. unit

    CALCULATION:

    Let the altitude of the triangle be L1 cm and the triangle and a parallelogram are constructed on the same base 

    ⇒ Area of the parallelogram = Area of triangle

    ⇒ (Base × Altitude) = (1/2 × Base × Altitude)

    ⇒ 100 = 1/2 × L1

    ⇒ L1 = 200 cm

    ∴ The altitude of the triangle is 200 cm

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