Heron’s Formula: Geometry Quiz! Test

15 Questions | By Jagranjosh | Updated: Mar 22, 2022 | Attempts: 7175

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Herons Formula: Geometry Quiz! Test - Quiz

Heron’s formula comes from geometry, and it gives the area of a triangle when the length of all three sides is known. It is not necessary to calculate angles of other distances in the triangle first. Heron’s formula was named after Hero of Alexandria. You must first calculate half of the triangle’s perimeter, and then you calculate the area. Give this quiz a try, and make sure you collect your certificate when you are done.

Questions and Answers

1.

The sides of a triangle are 3 cm, 4 cm, and 5 cm. Its area is:
- A.
  
  15 cm²
- B.
  
  12 cm²
- C.
  
  9 cm²
- D.
  
  6 cm²
2.

The area of ΔABC is:
- A.
  
  20 cm²
- B.
  
  10 cm²
- C.
- D.
3.

The area of a triangular signboard of sides 5 cm, 12 cm, and 13 cm is:
- A.
  
  60 cm²
- B.
  
  30 cm²
- C.
  
  12 cm²
- D.
4.

The sides of a triangle are in a ratio of 25:14:12 and its perimeter is 510 m. The greatest side of the triangle is:
- A.
  
  270 m
- B.
  
  250 m
- C.
  
  170 m
- D.
  
  120 m
5.

The perimeter of a right triangle is 60 cm and its hypotenuse is 26 cm. The other two sides of the triangle are:
- A.
  
  26 cm, 8 cm
- B.
  
  25 cm, 9 cm
- C.
  
  24 cm, 10 cm
- D.
  
  20 cm, 14 cm
6.

The area of the quadrilateral ABCD in the adjoining figure is:
- A.
  
  14.8 cm²
- B.
  
  15 cm²
- C.
  
  15.2 cm²
- D.
  
  16.4 cm²
7.

The area of the trapezium in the adjoining figure is:
- A.
  
  286 m²
- B.
  
  296 m²
- C.
  
  306 m²
- D.
  
  316 m²
8.

The area of the quadrilateral ABCD in the adjoining figure is:
- A.
  
  57 cm²
- B.
  
  95 cm²
- C.
  
  102 cm²
- D.
  
  114 cm²
9.

The perimeter of an equilateral triangle is 60 m. The area is:
- A.
- B.
- C.
- D.
10.

When the sum of squares of two sides of a triangle is equal to the square of the length of the third side, then it is called a:
- A.
  
  Scalene triangle
- B.
  
  Right triangle
- C.
  
  Isosceles triangle
- D.
  
  Equilateral triangle
11.
- A.
  
  5.196 cm²
- B.
  
  3.496 cm²
- C.
  
  1.732 cm²
- D.
  
  0.866 cm²
12.
- A.
  
  4 cm
- B.
  
  6 cm
- C.
  
  8 cm
- D.
  
  36 cm
13.

The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively. The length of its longest altitude is:
- A.
- B.
- C.
- D.
14.

The area of an isosceles triangle having a base 2 cm and the length of one of the equal sides 4 cm, is
- A.
- B.
- C.
- D.
15.

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