Heron's Formula
Trending Questions
- 48 cm
- 24 cm
- 12 cm
- 36 cm
Assertion: The sides of a triangle are 3cm, 4cm and 5cm. Its area is 6 cm2
Reason: If 2s = (a + b + c), where a, b, c are the sides of a triangle, then area
=√(s−a)(s−b)(s−c)
Which of the following is correct?
Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
The assertion is correct but Reason is incorrect.
The assertion is incorrect but Reason is correct.
The sides of a triangle are 16 cm, 12 cm and 20 cm. Find:
(i) Area of the triangle
(ii) Height of the triangle, corresponding to the largest side
(iii) Height of the triangle, corresponding to the smallest side.
The lengths of the sides of a triangle are in the ratio 4 : 5 : 3 and its perimeter is 96 cm. Find its area.
If the sides of a triangle are 4 cm, 6 cm and 6 cm, then find the height corresponding to the smallest side.
8√2
7√2
4√2
16√2
Tho adjacent sides of a parallelogram are 21 cm and 28 cm. If its one diagonal is 35 cm; find the area of the parallelogram.
The area of a triangle with sides 21cm, 20 cm and 13 cm is
70
120
63
126
Area of a right-angled triangle is . If its smallest side is , then its hypotenuse is
Assertion: The sides of a ΔABC are in the ratio 2:3:4 and its perimeter is 36cm. Then, ar(ΔABC)=12√15 cm2
Reason: If where a, b, c are the sides of a triangle, s=(a+b+c)2, then its area =√(s−a)(s−b)(s−c)
Which of the following is correct?
A and R are true and R is the correct explanation of A.
A and R are true and R is not the correct explanation of A.
A is false and R is true.
A is true and R is false.
- 30
- 45
- 96
- 135
Question 10 (i)
In the following figure, find the area of the shaded portion:
- 18, 750 sq. m
- 20, 250 sq.m
- 21, 050 sq.m
- 19, 550 sq. m
The perimeter of an equilateral triangle is 60m. The area is
10√3 m2
15√3 m2
20√3 m2
100√3 m2
- 13△ABC
- △ABC
- 12△ABC
- 14△ABC
The sides of a triangle are in the ratio 1:2:2 and its perimeter is 500 m. Then, area of the triangle is:
500 √15
100 √15
800 √15
200 √15
A person walks at the rate of . How long will he take to go a round a square park times whose area is .
Two equilateral triangle has their sides in ration 3:5 what will be the ratio of their area and perimeter respectively.
3:5 and 9:16
9:25 and 3:5
9:25 and 2:5
9:25 and 3:4
- 114
- 6+2√21
- 306
A dance floor has to be built as a triangular glass platform with the dimensions 7 m, 8 m and 9 m. The total surface area of the glass required to build such a platform is equal to ________ m2.
12√5
6
5√5
5
- Rs. 11210 (approx)
- Rs. 13210 (approx)
- Rs. 14210 (approx)
- Rs. 16210 (approx)
- S<T<C
- T<C<S
- T<S<C
- C<S<T
Students of a school staged a rally for cleanliness campaign in two groups. Group A walked through the lanes AB, BC and CA, while Group B walked through AC, CD and DA. They cleaned the area enclosed within their lanes. If AB = 9 m, BC = 40 m, CD = 15 m, DA = 28 m and ∠B = 90°, which group cleaned more area. Also, find the total area cleaned by the students?
Group A and 306 m2
Group A and 180 m2
Group B and 126 m2
Group B and 54 m2
A triangle with sides 12, 16 and 20 units is given.
Statement 1: To find the area of this triangle, the formula "Area=12×base×height" is the ideal one to be used.
Statement 2: To find the area, the formula "Area=√s(s−a)(s−b)(s−c)" is the ideal one to be used.
Enter “1” if you feel Statement 1 is correct, or “2” if Statement 2 is correct.
A triangle with area 25 sq. units is translated from one place to another. What is the area of the triangle at its final position?
25 sq. units
10 sq. units
20 sq. units
50 sq. units
5√5
12√5
5
6
The sides of a triangle are in the ratio 1:2:2 and its perimeter is 500m. The area of the triangle in m2 is:
500√(15)
200√(15)
800√(15)
100√(15)