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Multiple Choice Questions of Heron's Formula

Multiple Choice Questions of Heron's Formula 

1.) An isosceles right triangle has area 8 cm². The length of its hypotenuse is
(A) √32 cm
(B) √16 cm
(C) √48 cm
(D) √24 cm

2. The perimeter of an equilateral triangle is 60 m. The area is
(A) 10√3 m² 
(B) 15√3 m² 
(C) 20√3 m² 
(D) 100√3 m²

3. The sides of a triangle are 56 cm, 60 cm and 52 cm long. Then the area of the
triangle is
(A) 1322 cm²
(B) 1311 cm² 
(C) 1344 cm² 
(D) 1392 cm²

4. The area of an equilateral triangle with side 2√3 cm is
(A) 5.196 cm² 
(B) 0.866 cm² 
(C) 3.496 cm² 
(D) 1.732 cm²

5.) The length of each side of an equilateral triangle having an area of 9√3 cm² is
(A) 8 cm 
(B) 36 cm 
(C) 4 cm 
(D) 6 cm

6.) If the area of an equilateral triangle is 16√3 cm², then the perimeter of the triangle is
(A) 48 cm 
(B) 24 cm 
(C) 12 cm 
(D) 36 cm

7.) The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively. The length of its longest altitude
(A) 16√5 cm 
(B) 10√5 cm 
(C) 24√5 cm 
(D) 28 cm

8.) The area of an isosceles triangle having base 2 cm and the length of one of the equal
sides 4 cm, is

9.) The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 9 paise per cm² is
(A) Rs 2.00 
(B) Rs 2.16 
(C) Rs 2.48 
(D) Rs 3.00

10.) The base of a right triangle is 8 cm and hypotenuse is 10 cm. Its area will be
(A) 24 cm² 
(B) 40 cm²
(C) 48 cm² 
(D) 80 cm²



Answer Key 

1.) (A) √32 cm
2.) (D) 100√3 m²
3.) (C) 1344 cm² 
4.) (A) 5.196 cm² 
5.) (D) 6 cm
6.) (B) 24 cm 
7.) (C) 24√5 cm 
8.) (A) √15 cm²
9.) (B) Rs 2.16 
10.) (A) 24 cm²