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
The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively and its area is \(420\sqrt 5 \;c{m^2}\). The length of its longest altitude is
  • A
    \(10\sqrt 5 \;cm\)
  • B
    28 cm
  • C
    \(24\sqrt 5 \;cm\)
    Correct
  • D
    \(24\sqrt 5 \;cm\)
2
The difference of semi-perimeter and the sides of \(\triangle ABC\) are 8, 7 and 5 cm respectively. Its semi-perimeter ‘s’ is
  • A
    15 cm
  • B
    10 cm
  • C
    5 cm
  • D
    20 cm
    Correct
3
The perimeter of a rhombus is 20 cm. One of its diagonals is 8 cm. Then area of the rhombus is
  • A
    24 \(\;c{m^2}\)
    Correct
  • B
    36 \(\;c{m^2}\)
  • C
    18 \(\;c{m^2}\)
  • D
    24 \(\;c{m^2}\)
4
If one side and one diagonal of a rhombus and 20 m and 24 m, then its area =
  • A
    \(284{m^2}\)
  • B
    \(96{m^2}\)
  • C
    \(192{m^2}\)
  • D
    \(384{m^2}\)
    Correct
5
The product of difference of semi-perimeter and respective sides of \( \triangle ABC\) are given as 13200 \({m^3}\).The area of \(\triangle ABC\) , if its semi-perimeter is 132m, is given by
  • A
    \(132\;{m^2}\)
  • B
    \(13200\;{m^2}\)
  • C
    \(20\sqrt {33} \;{m^2}\)
  • D
    1320 \({m^2}\)
    Correct
6
The area of an isosceles right angled triangle of equal side 30 cm, is given as
  • A
    450 \(\;c{m^2}\)
    Correct
  • B
    \(225\sqrt 3 \;c{m^2}\)
  • C
    900 \(\;c{m^2}\)
  • D
    \(900\;c{m^2}\)
7
The area and length of one diagonal of a rhombus are given as 200 \(\;c{m^2}\) and 10 cm respectively. The length of other diagonal is
  • A
    40 cm
    Correct
  • B
    20 cm
  • C
    25 cm
  • D
    10 cm
8
The area of one triangular part of a rhombus ABCD is given as 125 \(\;c{m^2}\). The area of rhombus ABCD is
  • A
    2500 \(\;c{m^2}\)
  • B
    250 \(\;c{m^2}\)
  • C
    500 \(\;c{m^2}\)
    Correct
  • D
    625 \(\;c{m^2}\)
9
Each side of an equilateral triangle measures 10 cm. Then the area of the triangle is
  • A
    43.1 \(\;c{m^2}\)
  • B
    43.2 \(\;c{m^2}\)
  • C
    43.3 \(\;c{m^2}\)
    Correct
  • D
    43.4 \(\;c{m^2}\)
10
The area of a parallelogram whose base is 32 m and the corresponding altitude is 6 m is
  • A
    132 \({m^2}\)
  • B
    \({m^2}\)
    Correct
  • C
    164 \({m^2}\)
  • D
    164 \({m^2}\)
11
The diagonal of a rhombus are 24 cm and 10 cm. Then its perimeter is
  • A
    68 cm
  • B
    26 cm
  • C
    40 cm
  • D
    52 cm
    Correct
12
The adjacent sides of a parallelogram are 20 cm and 15 cm in length. Then the ratio between the corresponding altitudes is
  • A
    it is 2 : 3
  • B
    it is 1 : 2
  • C
    it is 4 : 3
  • D
    it is 3 : 4
    Correct
13
In a four-sided field, the length of the longer diagonal is 128 m. The lengths of the perpendiculars from the opposite vertices upon this diagonal are 22.7 m and 17.3 m. Then area of the field is
  • A
    2530 \({m^2}\)
  • B
    2560 \({m^2}\)
    Correct
  • C
    2360 \({m^2}\)
  • D
    2460 \({m^2}\)
14
The area of a quadrilateral whose diagonals measure 48 m and 32 m respectively and bisect each other at right angles is
  • A
    742 \({m^2}\)
  • B
    732 \({m^2}\)
  • C
    768 \({m^2}\)
    Correct
  • D
    758 \({m^2}\)
15
The diagonals of a rhombus measure 4 cm and 6 cm respectively. Its area is sq. cm is
  • A
    12
    Correct
  • B
    24
  • C
    8
  • D
    6