Herons Formula Test

Result

Herons Formula Test - 30

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Weekly Quiz Competition

Question 1
1 / -0

If $$\triangle ABC$$ is a right isosceles triangle with hypotenuse $$AC= 10$$ $$cm$$ and right angle at $$B$$, then the twice of its area is ____.

A
$$20$$ $$cm^2$$

B
$$30$$ $$cm^2$$

C
$$40$$ $$cm^2$$

D
$$50$$ $$cm^2$$

Solution
Question 2
1 / -0

Riya has a piece of cloth in the shape of equilateral triangle whose all altitudes are equal to $$6$$ $$cm$$. Find its area. (if each of it's sides are $$4 \sqrt 3$$ cm)

A
$$4\sqrt3$$ $$cm^2$$

B
$$8\sqrt3$$ $$cm^2$$

C
$$12\sqrt3$$ $$cm^2$$

D
$$16\sqrt3$$ $$cm^2$$

Solution
Question 3
1 / -0

In the given figure, it is given that $$O$$ is a mid point of $$AB$$ and $$CD$$, $$ AB = 24$$ units and $$CD = 26$$ units. Find the value of $$ar( \triangle OBC) + 2 ar( \triangle OAD).$$

A
$$30$$ $$units^2$$

B
$$60$$ $$units^2$$

C
$$90$$ $$units^2$$

D
None of these
Question 4
1 / -0

Find $$ar(\triangle ABD).$$

A
$$6$$ $$cm^2$$

B
$$70$$ $$cm^2$$

C
$$80$$ $$cm^2$$

D
$$90$$ $$cm^2$$

Solution
Question 5
1 / -0

Ankita has a piece of cake in the shape of an equilateral triangle whose all altitudes are equal to $$8$$ $$cm$$. Then the half of its area is ____. (if each side is equal to $$\dfrac {27 \sqrt 3}{2}$$)

A
$$27\sqrt3$$ $$cm^2$$

B
$$28\sqrt3$$ $$cm^2$$

C
$$29\sqrt3$$ $$cm^2$$

D
$$30\sqrt3$$ $$cm^2$$

Solution
Question 6
1 / -0

Find area of triangle ADC.

A
$$15$$ $$cm^2$$

B
$$20$$ $$cm^2$$

C
$$30$$ $$cm^2$$

D
$$40$$ $$cm^2$$

Solution
Question 7
1 / -0

Diya has a lunch box in the shape of right isosceles triangle of hypotenuse $$30$$ $$cm$$, find its area.

A
$$150$$ $$cm^2$$

B
$$160$$ $$cm^2$$

C
$$170$$ $$cm^2$$

D
$$225$$ $$cm^2$$

Solution
Question 8
1 / -0

Find the area of triangle ABD.

A
$$30 $$ $$cm^2$$

B
$$ 18 $$ $$cm^2$$

C
$$ 6 $$ $$cm^2$$

D
$$12 $$ $$cm^2$$
Question 9
1 / -0

In given figure, $$AC= 5$$ $$cm$$, $$BD = 2 $$ $$cm$$ and $$CD = 2BD$$. Find the area of $$\triangle ABC$$.

A
$$9$$ $$cm^2$$

B
$$18$$ $$cm^2$$

C
$$27$$ $$cm^2$$

D
None of these
Question 10
1 / -0

How much paper of blue shade is needed to make a kite given in the figure, if $$AB = BC = 10$$ $$cm$$ and $$BO = 8 $$ $$cm$$?

A
$$24$$ $$cm^2$$

B
$$48$$ $$cm^2$$

C
$$96$$ $$cm^2$$

D
None of these

Solution