A triangle and a parallelogram are constructed on the same base such t

1.	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 cm2. 220 cm3. 200 cm4. 240 cm
Answer» 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

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 cm2. 220 cm3. 200 cm4. 240 cm

Answer» 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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