Area of a right triangle is 54 cm². If one of its legs is 12 cm long, its perimeter is
a. 18 cm
b. 27 cm
c. 36 cm
d. 54 cm

Solution:

It is given that

Area of a right triangle = 54 cm²

We know that

Area = 1/2 × base × height = 1/2 ab

Here

Perimeter = a + b + √a² + b²

P = a + √a² + 4(A/a)² + 2 A/a

Substituting the values

P = 12 + √12² + 4(54/12)² + 2 (54/12)

P = 36 cm

Therefore, its perimeter is 36 cm.

✦ Try This: Area of a right triangle is 25 cm². If one of its legs is 10 cm long, its perimeter is

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11

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NCERT Exemplar Class 7 Maths Chapter 9 Sample Problem 2

Area of a right triangle is 54 cm². If one of its legs is 12 cm long, its perimeter is a. 18 cm, b. 27 cm, c. 36 cm, d. 54 cm

Summary:

Area of a right triangle is 54 cm². If one of its legs is 12 cm long, its perimeter is 36 cm

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