Class 9 | Maths
- What is Heron’s formula used for?
a) Calculating the perimeter of a triangle
b) Finding the sum of the angles in a triangle
c) Determining the area of a triangle
d) Finding the length of the longest side of a triangle - In Heron’s formula, what does ‘s’ represent?
a) The length of the longest side of the triangle
b) The area of the triangle
c) The semi-perimeter of the triangle
d) The height of the triangle - What type of triangle has all sides of equal length?
a) Scalene triangle
b) Isosceles triangle
c) Equilateral triangle
d) Right-angled triangle - If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the semi-perimeter (s) of the triangle?
a) 12 cm
b) 15 cm
c) 24 cm
d) 20 cm - Heron’s formula is named after:
a) A famous mathematician
b) The shape of the formula
c) The length of a triangle’s sides
d) A geographical location - What is the area of an equilateral triangle with a side length of 9 cm, using Heron’s formula?
a) 27√3 sq cm
b) 54 sq cm
c) 81 sq cm
d) 27 sq cm - If the sides of a triangle are 12 cm, 16 cm, and 20 cm, what is the area of the triangle using Heron’s formula?
a) 96 sq cm
b) 64 sq cm
c) 48 sq cm
d) 144 sq cm - In Heron’s formula, what is ‘a’ usually used to represent?
a) The length of the longest side of the triangle
b) The semi-perimeter of the triangle
c) The area of the triangle
d) The height of the triangle - What is the Heron’s formula for finding the area of a triangle with sides a, b, and c, and semi-perimeter s?
a) Area = √(s(s-a)(s-b)(s-c))
b) Area = s/(s-a)(s-b)(s-c)
c) Area = √(a+b+c)
d) Area = a+b+c - Which of the following triangles can Heron’s formula be used to find the area of?
a) Any triangle
b) Only right-angled triangles
c) Only equilateral triangles
d) Only isosceles triangles - What is the area of a right-angled triangle with legs of length 6 cm and 8 cm, using Heron’s formula?
a) 18 sq cm
b) 24 sq cm
c) 36 sq cm
d) 48 sq cm - If the area of a triangle is 36 sq cm and its semi-perimeter is 15 cm, what is the length of its longest side using Heron’s formula?
a) 12 cm
b) 15 cm
c) 18 cm
d) 20 cm - What is the perimeter of a triangle with sides of length 4 cm, 7 cm, and 9 cm, using Heron’s formula?
a) 20 cm
b) 30 cm
c) 24 cm
d) 26 cm - If the semi-perimeter of a triangle is 12 cm, and two sides have lengths 5 cm and 7 cm, what is the length of the third side using Heron’s formula?
a) 2 cm
b) 4 cm
c) 8 cm
d) 10 cm - What is the area of a triangle with sides 15 cm, 20 cm, and 25 cm, using Heron’s formula?
a) 150 sq cm
b) 200 sq cm
c) 100 sq cm
d) 250 sq cm - In Heron’s formula, if ‘s’ is the semi-perimeter and ‘a,’ ‘b,’ and ‘c’ are the sides of a triangle, the area is given by:
a) Area = √(s(s-a)(s-b)(s-c))
b) Area = s/(s-a)(s-b)(s-c)
c) Area = √(a+b+c)
d) Area = a+b+c - Which of the following statements is true regarding Heron’s formula?
a) It only works for right-angled triangles.
b) It can be used for any type of triangle.
c) It can only be used for equilateral triangles.
d) It requires knowing the measure of all three angles of a triangle. - If a triangle has sides of length 10 cm, 13 cm, and 15 cm, what is its area using Heron’s formula?
a) 45 sq cm
b) 60 sq cm
c) 30 sq cm
d) 75 sq cm - Heron’s formula is primarily used for finding the area of:
a) Circles
b) Quadrilaterals
c) Triangles
d) Rectangles - If a triangle has sides of length 7 cm, 24 cm, and 25 cm, what is its area using Heron’s formula?
a) 84 sq cm
b) 168 sq cm
c) 120 sq cm
d) 48 sq cm
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