The radius of in-circle of a triangle is 4 cm and the perimeter of the

1.	The radius of in-circle of a triangle is 4 cm and the perimeter of the triangle is 20 cm. What is the area of the triangle?1. 40 sq. cm2. 36 sq. cm3. 80 sq. cm4. 20 sq. cm
Answer» Correct Answer - Option 1 : 40 sq. cm Given: The radius of in-circle of a triangle = 4 cm The perimeter of the triangle = 20 cm Formula used: The area of the triangle = Semi perimeter of triangle × the radius of in-circle of a triangle Calculation: Semi perimeter of triangle = 20/2 = 10 cm The area of the triangle = Semi perimeter of triangle × the radius of in-circle of a triangle ⇒ The area of the triangle = 10 × 4 ⇒ 40 cm² ∴ The area of the triangle is 40 cm2

The radius of in-circle of a triangle is 4 cm and the perimeter of the triangle is 20 cm. What is the area of the triangle?1. 40 sq. cm2. 36 sq. cm3. 80 sq. cm4. 20 sq. cm

Answer» Correct Answer - Option 1 : 40 sq. cm

Given:

The radius of in-circle of a triangle = 4 cm

The perimeter of the triangle = 20 cm

Formula used:

The area of the triangle = Semi perimeter of triangle × the radius of in-circle of a triangle

Calculation:

Semi perimeter of triangle = 20/2 = 10 cm

The area of the triangle = Semi perimeter of triangle × the radius of in-circle of a triangle

⇒ The area of the triangle = 10 × 4

⇒ 40 cm²

∴ The area of the triangle is 40 cm2

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The radius of in-circle of a triangle is 4 cm and the perimeter of the triangle is 20 cm. What is the area of the triangle?1. 40 sq. cm2. 36 sq. cm3. 80 sq. cm4. 20 sq. cm

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