Herons formula medium

Heron's Formula Quiz (Medium)

1. Heron's Formula is used to calculate the area of which type of polygon?

a) Square b) Triangle c) Rectangle d) Circle

2. What are the three sides of a triangle needed to calculate its area using Heron's Formula?

a) Base, height, and hypotenuse b) Any three sides c) All three sides d) Two sides and an angle

3. What is the formula to calculate the semi-perimeter (s) of a triangle?

a) s = (a + b + c) / 2 b) s = a + b + c c) s = (a × b × c) / 2 d) s = √(a + b + c)

4. Heron's Formula is named after:

a) Pythagoras b) Euclid c) Archimedes d) Hero of Alexandria

5. If the sides of a triangle are 9 cm, 10 cm, and 15 cm, what is its area using Heron's Formula?

a) 45 cm² b) 36 cm² c) 30 cm² d) 40 cm²

6. Heron's Formula is applicable to which type of triangle?

a) Equilateral triangle b) Isosceles triangle c) Right-angled triangle d) Any type of triangle

7. Which of the following represents Heron's Formula correctly?

a) Area = (a + b + c) / 2 b) Area = a × b × c c) Area = √s(s - a)(s - b)(s - c), where s is the semi-perimeter d) Area = a + b + c

8. What is the unit of measurement for the sides of a triangle when using Heron's Formula?

a) Degrees b) Radians c) Centimeters d) None of the above

9. Heron's Formula is a generalized case of which famous theorem?

a) Pythagoras theorem b) Law of cosines c) Law of sines d) Thales theorem

10. In Heron's Formula, if the sides of a triangle are 12 cm, 16 cm, and 20 cm, what is its area?

a) 96 cm² b) 144 cm² c) 192 cm² d) 240 cm²