Test Details

Heron's Formula

Feb 05, 7:00 PM

58 minutes

Feb 06, 8:00 PM

68.0 marks

MCQ

22 questions

19891998

mentor of Maths and science with diverse perspective

Class Details

Maths And Science

CBSE Mentor

Maths And Science

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Question Text

Question 1 :
The area of a square is equal to the area of a circle. What is the ratio between the side of the square and the radius of the circle ?

Question 2 :
The angles of a quadrilateral are in the ratio $3:5:9:13$. All the angles of the quadrilateral are

Question 3 :
In aparallelogram, PQRS, $PR\neq QS\quad and\quad PR\pm QS$. Then PQRS is a

Question 4 :
$\angle A\quad and\quad \angle C$ of a quadrilateral ABCD are ${ 65 }^{ }$ each and the other two are equal angles. Then the quadrilateral is a

Question 5 :
In a quadrilateral ABCD if $AB=CD,\quad AB\parallel CD\quad and\quad AB=BC$, then ABCD is a

Question 6 :
If PQRS is a parallelogram with PR $=$ QS, and PR is perpendicular to QS,then PQRS is a

Question 7 :
If PQRS is a parallelogram with PR $=$ QS, then PQRS is a

Question 8 :
A kite with $x$ cm, $x$ cm, $y$ cm and $y$ cm is inscribed in a circle. The area of the kite is

Question 9 :
ABCD is a parallelogram with AB $=$ 8.3 cm and its perimeter is 25 cm. Then BC equals

Question 10 :
In parallelogram ABCD, AB $=$ (x+8) cm and CD $=$ (3x-2) Then AB equals

Question 11 :
The difference between the area of a square and that of an equilateral triangle on the same base is $\displaystyle \frac{1}{4}cm^{2}$. What is the length of the side of the triangle?

Question 12 :
If A, B, C, D are angles of a cyclic quadrilateral , find the value of $cos A + cos B + cos C + cos D$.

Question 13 :
$ABCD$ is a parallelogram $AB=14\;cm,BC=18\;cm,AC=16\;cm$ then the length of the length of the other diagonal.

Question 14 :
The sides of a triangle are 11 cm 15 cm and 16 cm The altitude to largest side is

Question 15 :
If an angle of a triangle remains unchanged but each of its two including sides is doubled, then the area is multiplied by:

Question 16 :
Find the area of a quadrilateral whose sides are $3\ cm, 4\ cm, 2\ cm$, and $5\ cm$. The angle between the first two sides is $90^o$. (Use Heron's formula)<br/>

Question 17 :
Using Heron's formula find the area of a quadrilateral whose sides are $3\ cm, 4\ cm, 4\ cm$, and $5\ cm$. The angle between the first two sides is $90^0$. <br/>

Question 18 :
The triangular side - wall of a flyover have been used for advertisements, The sides of the walls are 122 m, 22m and 120 m. The advertisements requires rent of Rs 5000 per $\displaystyle m^{2}$ per year. A company hired one of its walls for 3 months. How much rent did it pay ?

Question 19 :
The vertices of a triangle are the intersections of the lines whose equations are y = 0, x = 3y, and 3x + y = 7. This triangle is

Question 20 :
The vertices of a triangle are (2, 0), (-2, -1), and (3, -4). The triangle is

Question 21 :
If the height of an equilateral triangle is $9$, what is its area?

Question 22 :
<p>A traffic signal board, indicating 'SCHOOLAHEAD', is an equilateral triangle with side $a$. Find the area of the signal board, using Heron's formula. If its perimeter is $180 cm$, what will be the area of the signal board?</p>

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