CBSE Questions for Class 9 Maths Heron'S Formula Quiz 5 - MCQExams.com

The sides of a triangle measures $$13\,cm , 14\,cm$$ and $$15\,cm.$$ Its area is
  • $$84 \,cm^2$$
  • $$91\,cm^2$$
  • $$168 \,cm^2$$
  • $$182 \,cm^2$$
The area of an equilateral triangle is $$4 \sqrt{3} \,cm^2.$$ The length of each of its sides is
  • $$3 \,cm$$
  • $$4 \,cm$$
  • $$2 \sqrt{3} \,cm$$
  • $$\dfrac{1}{2} \sqrt{3} \,cm$$
Write true or false and justify your answer. The are of isosceles triangle is $$5/4 \sqrt{11} cm^{2}$$, if the perimeter is $$11\ cm$$ and the base is $$5 cm$$.
  • True
  • False
Each side of an equilateral triangle is $$8 \,cm$$ long. Its area is:
  • $$32 \,cm^2$$
  • $$64 \,cm^2$$
  • $$16 \sqrt{3} \,cm^2$$
  • $$16 \sqrt{2} \,cm^2$$
In an isosceles triangle $$PQR$$, the altitude $$ PS = 6 $$ $$cm$$ and $$PQ = PR = 10$$ $$cm$$. Find the area of $$\triangle PSR$$.
1949398_3c0271b4993544d7b50b8e8dd01139ae.png
  • $$20$$ $$cm^2$$
  • $$22$$ $$cm^2$$
  • $$24$$ $$cm^2$$
  • None of these
Write true or false and justify your answer. The are of the equilateral triangle is $$20\sqrt{3}cm^{2}$$ whose each side is $$8\ cm$$.
  • True
  • False
If $$AD = 4$$ $$cm$$ and $$AB = 5$$ $$cm$$ in the given figure, then find the area of $$\triangle ADB$$.
1949397_2758717706fa49d4a1e7c80bdf666869.jpg
  • $$4$$ $$cm^2$$
  • $$6$$ $$cm^2$$
  • $$8$$ $$cm^2$$
  • $$10$$ $$cm^2$$
In the given figure, if $$PL = 2 QL$$, then what will be the area of $$\triangle PLQ $$?
1949431_2f7554a7df9f4691a869ee9307fb39aa.jpg
  • $$28.8$$ square units
  • $$26.8$$ square units
  • $$28.3$$ square units
  • $$26.3$$ square units
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 ____.
  • $$20$$ $$cm^2$$
  • $$30$$ $$cm^2$$
  • $$40$$ $$cm^2$$
  • $$50$$ $$cm^2$$
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)
  • $$4\sqrt3$$ $$cm^2$$
  • $$8\sqrt3$$ $$cm^2$$
  • $$12\sqrt3$$ $$cm^2$$
  • $$16\sqrt3$$ $$cm^2$$
Find the area of $$\triangle ABD$$
1949399_bcb9a3a292ad4ecca8fe8ad634397dc5.PNG
  • $$12 \ cm^2$$
  • $$24 \ cm^2$$
  • $$28 \ cm^2$$
  • none of these
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 $$ar( \triangle OBC) + 2 ar( \triangle OAD).$$
1949400_208569b5b6814fee8919424fec699f60.png
  • $$30$$ $$units^2$$
  • $$60$$ $$units^2$$
  • $$90$$ $$units^2$$
  • None of these
Diya has a lunch box in the shape of right isosceles triangle of hypotenuse $$30$$ $$cm$$, find its area.
  • $$150$$ $$cm^2$$
  • $$160$$ $$cm^2$$
  • $$170$$ $$cm^2$$
  • $$225$$ $$cm^2$$
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 $$\dfrac {27 \sqrt 3}{2}$$)
  • $$27\sqrt3$$ $$cm^2$$
  • $$28\sqrt3$$ $$cm^2$$
  • $$29\sqrt3$$ $$cm^2$$
  • $$30\sqrt3$$ $$cm^2$$
Find area of triangle ADC.
1949429_9299a24967674636b7fa9467aad5fb4a.PNG
  • $$15$$ $$cm^2$$
  • $$20$$ $$cm^2$$
  • $$30$$ $$cm^2$$
  • $$40$$ $$cm^2$$
In given figure, $$AC= 5$$ $$cm$$, $$BD = 2 $$ $$cm$$ and $$CD = 2BD$$. Find the area of $$\triangle ABC$$.
1949421_240fba20c6814e2ca8f2e8e11f8c82c6.jpg
  • $$9$$ $$cm^2$$
  • $$18$$ $$cm^2$$
  • $$27$$ $$cm^2$$
  • None of these
Find the area of triangle ABD.
1949424_7654b1c6322343c9a5bb8e711daf8584.PNG
  • $$30 $$ $$cm^2$$
  • $$ 18 $$ $$cm^2$$
  • $$ 6 $$ $$cm^2$$
  • $$12 $$ $$cm^2$$
Find $$ar(\triangle ABD).$$
1949433_08da22259b374aedab77108366b9c072.PNG
  • $$6$$ $$cm^2$$
  • $$70$$ $$cm^2$$
  • $$80$$ $$cm^2$$
  • $$90$$ $$cm^2$$
How much paper of blue shade is needed to make a kite given in the figure, if $$AB = BC = 10$$ $$cm$$ and $$BO = 8 $$ $$cm$$?
1949434_48d86fa05d3c457f93c9605672150209.jpg
  • $$24$$ $$cm^2$$
  • $$48$$ $$cm^2$$
  • $$96$$ $$cm^2$$
  • None of these
Two sides of a plot measure 32 m and 24 m and the angle between them is a perfect right angle The other two sides measure 25 m each and the other three angles are not right angles What is the area of the plot?
299303_ef9bd82ae7b24130ab2b45ce009f035c.png
  • $$768 \displaystyle m^{2}$$
  • $$534 \displaystyle m^{2}$$
  • $$696.5 \displaystyle m^{2}$$
  • $$684 \displaystyle m^{2}$$
Find the area of a quadrilateral whose sides are $$12, 5, 6$$ and $$15$$. The angle between the first two sides is $$90$$. (Use Heron's formula)
  • $$20 +$$ $$2\sqrt{2805}$$
  • $$30 +$$ $$2\sqrt{805}$$
  • $$30 +$$ $$2\sqrt{374}$$
  • $$30 +$$ $$2\sqrt{1805}$$
The perimeter of a triangle is $$540$$ m and its sides are in the ratio $$12 : 25 : 17.$$ Find the area of the triangle.
  • $$5,000\:m^{2}$$
  • $$6,000\:m^{2}$$
  • $$9,000\:m^{2}$$
  • $$8,000\:m^{2}$$
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 ?
  • 1750000
  • 1600000
  • 1650000
  • None of these
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 $$90^0$$.
  • $$14 cm^{2}$$
  • $$16 cm^{2}$$
  • $$18 cm^{2}$$
  • $$(6 + 6\sqrt{7})cm^{2}$$

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?
  • $$900\sqrt 3 cm^2$$
  • $$300\sqrt 3 cm^2$$
  • $$600\sqrt 3 cm^2$$
  • $$900\sqrt 2 cm^2$$
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)
  • $$14 cm^{2}$$
  • $$16 cm^{2}$$
  • $$ (6+ \sqrt{24} ) cm^{2}$$
  • $$20 cm^{2}$$
Find the area of a field which is in shape of a parallelogram with sides 12 cm and 14 cm and one of the diagonal of length 18 cm.   
  • $$16 \sqrt{110}$$ $$cm^2$$
  • $$18 \sqrt{11}$$ $$cm^2$$
  • $$8 \sqrt{10}$$ $$cm^2$$
  • $$6 \sqrt{11}$$ $$cm^2$$
In an equilateral triangle, $$3$$ coins of radii $$1$$ unit each are kept so that they touch each other and also the sides of the triangle. Area of the triangle is?
  • $$4+2\sqrt{3}$$
  • $$6+4\sqrt{3}$$
  • $$12+\displaystyle\frac{7\sqrt{3}}{4}$$
  • $$3+\displaystyle\frac{7\sqrt{3}}{4}$$
Find the area of the triangle whose sides are $$84$$ metres, $$80$$ metres and $$52$$ metres.
  • $$@056$$ sq.m
  • $$2756$$ sq.m
  • $$2016$$ sq.m
  • $$2716$$ sq.m
  • NONE OF THESE
The side of an equilateral triangle whose area is $$\sqrt{3}{cm}^{2}$$ is:
  • $$1cm$$
  • $$2cm$$
  • $$3cm$$
  • $$4cm$$
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