Online Test — Heron's Formula
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
medium
Heron's formula is used to find the area of a triangle when we know:
Base and height
Two sides and included angle
All three sides
All three angles
Explanation: Heron's formula uses only the three side lengths
Question 2 of 10
medium
The semi-perimeter s of a triangle with sides 13 cm, 14 cm, 15 cm is:
21 cm
42 cm
14 cm
28 cm
Explanation: s = (13+14+15)/2 = 42/2 = 21
Question 3 of 10
medium
Find the area of a triangle with sides 5 cm, 12 cm, 13 cm
30 cm²
60 cm²
15 cm²
78 cm²
Explanation: s=15, Area=√(15×10×3×2)=√900=30
Question 4 of 10
medium
The semi-perimeter s is defined as:
(a+b+c)/2
(a+b+c)
(a+b+c)/3
√(a+b+c)
Explanation: Semi-perimeter = half the perimeter
Question 5 of 10
medium
An equilateral triangle with side 6 cm has area:
9√3 cm²
12√3 cm²
18√3 cm²
36√3 cm²
Explanation: Area = (√3/4)a² = 36√3/4 = 9√3
Question 6 of 10
medium
A triangular field has sides 120 m, 170 m, and 250 m. Its semi-perimeter is:
270 m
540 m
270 m
135 m
Explanation: (120+170+250)/2 = 540/2 = 270 m
Question 7 of 10
medium
For a triangle with sides a, b, c, the expression under the square root in Heron's formula is:
s(s-a)(s-b)(s-c)
s(s+a)(s+b)(s+c)
(s-a)(s-b)(s-c)
√s(s-a)(s-b)(s-c)
Explanation: Area = √[s(s-a)(s-b)(s-c)]
Question 8 of 10
medium
The area of a triangle with sides 8 cm, 15 cm, 17 cm is:
40 cm²
60 cm²
120 cm²
30 cm²
Explanation: s=20, Area=√(20×12×5×3)=√3600=60
Question 9 of 10
medium
Heron's formula is named after:
Pythagoras
Euclid
Heron of Alexandria
Archimedes
Explanation: Named after Greek mathematician Heron (Hero) of Alexandria
Question 10 of 10
medium
A triangle with sides 9 cm, 10 cm, 17 cm has area:
36 cm²
24 cm²
48 cm²
72 cm²
Explanation: s=18, Area=√(18×9×8×1)=√1296=36