CBSE Questions for Class 9 Maths Heron'S Formula Quiz 2 - MCQExams.com

If the sides of a triangle are doubled, then its area
  • Remains the same
  • Becomes doubled
  • Becomes three times
  • Becomes four times
If every side of a triangle is doubled, then the area of the new triangle is 'K' times the area of the old one. The value of K is
  • 2
  • 3
  • $$\sqrt{2}$$
  • 4
The area of a triangle whose sides are $$4\ cm, 13\ cm$$ and $$15\ cm$$, is
  • $$\sqrt{420}\ {cm}^2$$
  • $$24\  {cm}^2$$
  • $$48\  {cm}^2$$
  • $$56\  {cm}^2$$
The area of a triangle whose sides are $$13 cm, 14 cm$$ and $$15 cm$$ is:
  • $$42 cm^2$$
  • $$86 cm^2$$
  • $$84 cm^2$$
  • $$100 cm^2$$
A quadrilateral $$ABCD$$ has $$\angle C =90,AB=9 cm,BC=8cm,CD=6cm$$ and $$AD=7 cm.$$ How much area does it occupy?
  • $$6 \sqrt {26} + 24$$
  • $$48$$
  • $$12 \sqrt {26}$$
  • none of these
The length of sides of a triangle are in the ratio.$$17:12:25$$ and its semi perimeter is $$270 cm$$. Find the area of the triangle.
  • $$9000 c$$$$m^2$$
  • $$6000 c$$$$m^2$$
  • $$7000 c$$$$m^2$$
  • $$8000 c$$$$m^2$$
The lengths of sides of a triangle are in the ratio $$3:4:5$$ and its perimeter is $$144$$ cm, then find the height corresponding to largest side.
  • $$14.8$$ cm
  • $$28.8$$ cm
  • $$39$$ cm
  • $$16$$ cm
One side of an equilateral triangle is 6 cm. Its area by using Heron's formula is
  • $$9$$ $${cm}^{2}$$
  • $$3$$ $${cm}^{2}$$
  • $$9\sqrt {3}$$ $${cm}^{2}$$
  • $$3\sqrt{8}$$ $${cm}^{2}$$
An umbrella is made by stitching $$12$$ triangular pieces of cloth. Each piece measures $$50$$ cm, $$20$$ cm and $$50$$ cm. Find the area of cloth used in it.
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  • $$2400\sqrt6$$ c$$m^2$$
  • $$2200\sqrt3$$ c$$m^2$$
  • $$1200\sqrt6$$ c$$m^2$$
  • $$1000\sqrt6$$ c$$m^2$$
The area of triangle with sides $$35$$ cm, $$66$$ cm and $$53$$ cm is
  •  $$924 \text{ cm}^{2} $$
  •  $$1336 \text{ cm}^{2} $$
  •  $$693 \text{ cm}^{2} $$
  •  $$1848 \text{ cm}^{2} $$
The sides of a triangle are in the ratio of 13:14:15 and its perimeter is 84 cm. Then the area of the triangle is
  • $$136$$ $$cm^2$$
  • $$236$$ $$cm^2$$
  • $$336$$ $$cm^2$$
  • $$436$$ $$cm^2$$
In a triangular field having sides 30 m, 72 m and 78 m , the length of the altitude to the side measuring 72 m is
  • 25 m
  • 28 m
  • 30 m
  • 35 m
The area of a triangle whose sides are 13 cm, 14 cm and 15 cm is:
  • 84 sq cm
  • 64 sq cm
  • 825 sq cm
  • None of these
Find the area of the triangle having three sides given as $$5 cm, 6 cm$$ and $$7 cm$$.
  • $$ 6 \sqrt6 $$ $$cm^2$$
  • $$ 6 \sqrt3 $$ $$cm^2$$
  • $$ 4 \sqrt6 $$ $$cm^2$$
  • None of the above
The area of a triangle is $$\displaystyle 216cm^{2}$$ and its sides are in the ratio 3 : 4 : 5 The perimeter of the triangle is
  • 6 cm
  • 12 cm
  • 36 cm
  • 72 cm
State Heron's formula for area of a triangle.
  • $$ \sqrt { s(s+a)(s-b)(s-c) } $$.
  • $$ \sqrt { s(s-a)(s+b)(s-c) } $$.
  • $$ \sqrt { s(s-a)(s-b)(s-c) } $$.
  • None of the above
The perimeter of a triangle field is $$144 m$$ and ratio of the sides is $$3 : 4 : 5$$. Then the area of the field is
  • $$864$$ sq m
  • $$764$$ sq m
  • $$854$$ sq m
  • $$754$$ sq m
The sides of a triangular board are $$13\ metres$$, $$14\ metres$$ and $$15\ metres$$. The cost of painting it at the rate of $$Rs. 8.75$$ per $$m^2$$ is
  • $$Rs. 688.80$$
  • $$Rs. 735$$
  • $$Rs. 730.80$$
  • $$Rs. 722.50$$
If each side of a triangle is doubled, than find the ratio of area of the new triangle than formed and the given triangle.
  • $$4 : 1$$
  • $$1:4$$
  • $$2:1$$
  • $$1:2$$
For a quadrilateral, with the $$4$$ sides given and with none of the angles $$90^o,$$ 
  • area can be found by using Heron's formula only
  • sum of all the angles is $$360$$ 
  • diagonals are always equal
  • none of these
If A is the area of a triangle in $$\displaystyle cm^{2}$$, whose sides are 9 cm, 10 cm and 11 cm,then which one of the following is correct?
  • $$A < 40$$$$\displaystyle cm^{2}$$
  • $$40$$$$\displaystyle cm^{2}$$$$ < A < 45 $$$$\displaystyle cm^{2}$$
  • $$45$$ $$\displaystyle cm^{2}$$$$ < A < 50$$$$\displaystyle cm^{2}$$
  • $$A > 50$$ $$\displaystyle cm^{2}$$
The sides of a triangle are 16 cm, 30 cm and 34 cm. Its area is
  • $$120\, cm^2$$
  • $$260\, cm^2$$
  • $$240\, cm^2$$
  • $$272\, cm^2$$
The adjacent sides of a parallelogram are 8 cm and 9 cm. The shorter diagonal is 13 cm. What is its area?
  • $$72\, cm^2$$
  • $$12\sqrt {35}\, cm^2$$
  • $$24\sqrt {35}\, cm^2$$
  • $$150\, cm^2$$
The sides of a triangle are $$5 cm$$, $$12 cm$$ and $$13 cm$$, Then its area is
  • $$0.0024 m^2$$
  • $$0.0026 m^2$$
  • $$0.003 m^2$$
  • $$0.0015 m^2$$
The area of a triangle, whose sides are $$4 cm$$, $$13 cm$$ and $$15cm$$, is
  • $$\sqrt{420} cm^2$$
  • $$24 cm^2$$
  • $$48 cm^2$$
  • $$56 cm^2$$
ABCD is a given field whose sides are indicated. If $$\angle$$DAB = 90$$^o$$, then area of the field is ............
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  • 180 m$$^2$$
  • 126 m$$^2$$
  • 306 m$$^2$$
  • 300 m$$^2$$
The base of an isosceles triangle is $$16$$ cm and its perimeter is $$36$$ cm. The area of the triangle is ........
  • $$72 \displaystyle cm^{2} $$
  • $$36\displaystyle cm^{2} $$
  • $$24 \displaystyle cm^{2} $$
  • $$48 \displaystyle cm^{2} $$
The sides of a triangle are $$3$$ cm, $$5$$ cm and $$4$$ cm: Its area is
  • $$6\, cm^2$$
  • $$7.5\, cm^2$$
  • $$5\sqrt 2\, cm^2$$
  • None of these
Find the area of a rhombus with sides 20 cm and length of one of the diagonal as 28 cm.
  • $$56 \sqrt{51}$$ $$cm^2$$
  • $$18 \sqrt{51}$$ $$cm^2$$
  • $$25 \sqrt{51}$$ $$cm^2$$
  • none of these
The area of triangle whose sides are 4cm, 13 cm and 15 cm is
  • $${ 576cm }^{ 2 }$$
  • $${ 30cm }^{ 2 }$$
  • $${ 26cm }^{ 2 }$$
  • $${ 24cm }^{ 2 }$$
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