Herons Formula CBSE Questions & Answers

Herons Formula

This is Mathematics Class 09 Herons Formula CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If the base and the corresponding altitude of a parallelogram are 60 cm and 24 cm respectively, then the area of the parallelogram is
  • A
    720 \(c{m^2}\)
  • B
    1200 \(c{m^2}\)
  • C
    1440 \(c{m^2}\)
    Correct
  • D
    1400 \(c{m^2}\)
2
The area of a triangle whose sides are 12 cm, 16 cm and 20 cm is
  • A
    240 \(c{m^2}\)
  • B
    320 \(c{m^2}\)
  • C
    96 \(c{m^2}\)
    Correct
  • D
    72 \(c{m^2}\)
3
The perimeter and area of a triangle whose sides are of lengths 3 cm, 4 cm and 5 cm respectively are
  • A
    6 cm, 12 \(c{m^2}\)
  • B
    12 cm, 12 \(c{m^2}\)
  • C
    12 cm, 6 \(c{m^2}\)
    Correct
  • D
    6 cm, 6 \(c{m^2}\)
4
The area of a triangle whose sides are 15 cm, 8 cm and 19 cm is
  • A
    \(8\sqrt {\;91} \;c{m^2}\)
  • B
    \(8\sqrt {\;91} \;c{m^2}\)
  • C
    \(19\sqrt {\;91} \;c{m^2}\)
  • D
    \(6\sqrt {\;91} \;c{m^2}\)
    Correct
5
Each of the equal sides of an isosceles triangle is 2 cm greater than its height. If the base of the triangle is 12 cm, then its area is
  • A
    40 \(c{m^2}\)
  • B
    48 \(c{m^2}\)
    Correct
  • C
    36 \(c{m^2}\)
  • D
    24 \(c{m^2}\)
6
If the height of a parallelogram having 500 \(c{m^2}\) as area is 20 cm, then its base is of length
  • A
    25 cm
    Correct
  • B
    15 cm
  • C
    50 cm
  • D
    20 cm
7
Given the product of diagonals of a rhombus ABCD is 2500 \(c{m^2}\), its area is
  • A
    625 \(c{m^2}\)
  • B
    1250 \(c{m^2}\)
    Correct
  • C
    2000 \(c{m^2}\)
  • D
    1200 \(c{m^2}\)
8
The area of a right angled triangle if the radius of its circumcircle is 3 cm and altitude drawn to the hypotenuse is 2 cm.
  • A
    6 \(c{m^2}\)
    Correct
  • B
    8 \(c{m^2}\)
  • C
    4 \(c{m^2}\)
  • D
    3 \(c{m^2}\)
9
Area of an isosceles triangle ABC with AB = a = AC and BC = b is
  • A
    \({1 \over 2}b\sqrt {4{a^2} - {b^2}} \)
  • B
    \({1 \over 4}b\sqrt {{a^2} - {b^2}} \)
  • C
    \({1 \over 4}b\sqrt {4{a^2} - {b^2}} \)
    Correct
  • D
    \({1 \over 2}b\sqrt {{a^2} - {b^2}} \)
10
The area of quadrilateral ABCD whose diagonals are perpendicular and of lengths 12 cm, 8 cm is
  • A
    192 \(c{m^2}\)
  • B
    96 \(c{m^2}\)
  • C
    48 \(c{m^2}\)
    Correct
  • D
    36 \(c{m^2}\)
11
An isosceles right triangle has area 8 \(\;c{m^2}\). The length of its hypotenuse is
  • A
    \(\sqrt {24} \) cm
  • B
    \(\sqrt {16} \) cm
  • C
    \(\sqrt {32} \) cm
    Correct
  • D
    \(\sqrt {48} \) cm
12
The perimeter of an equilateral triangle is 60 m. The area is
  • A
    \(10\sqrt 3 \;{m^2}\)
  • B
    100 \(\sqrt 3 \;{m^2}\)
    Correct
  • C
    \(15\sqrt 3 \;{m^2}\)
  • D
    \(20\sqrt 3 \;{m^2}\)
13
The area of an equilateral triangle with side \(2\sqrt 3 \) cm is
  • A
    3.496 \(\;c{m^2}\)
  • B
    5.196 \(\;c{m^2}\)
    Correct
  • C
    1.732 \(\;c{m^2}\)
  • D
    0.866 \(\;c{m^2}\)
14
the length of each side of an equilateral triangle having an area of \(9\sqrt 3 \) \(c{m^2}\) is
  • A
    4 cm
  • B
    8 cm
  • C
    6 cm
    Correct
  • D
    36 cm
15
If the area of an equilateral triangle is \(16\sqrt 3 \;c{m^2}\), then the perimeter of the triangle is
  • A
    24 cm
    Correct
  • B
    12 cm
  • C
    48 cm
  • D
    306 cm