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The inradius of a triangle is 7 cm and its area is 343 cm2. The perimeter of the triangle is
Question

The inradius of a triangle is 7 cm and its area is 343 cm2. The perimeter of the triangle is

A.

98cm

B.

68cm

C.

88cm

D.

49cm

Correct option is A

Given:

Area of the triangle = 343cm2343cm^2​​

Inradius of triangle = 7cm

Formula Used:

Area of triangle = Inradius ×\times​ Semi perimeter

Solution:

Inradius =7cm

Area of triangle = 7 ×\times​ Semi perimeter = 343cm2343cm^2​​

Semi perimeter = 3437=49cm \frac{343}{7} =49cm​​

Perimeter of triangle = 2×49=98 cm2\times 49 = 98 \ cm​​

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