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MathBuster HOTS Quiz CBSE Class 9 Chapter 12
1. MB0912: Herons Formula
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owned by ECPL and any reproduction, derivation or distribution of this document in original or modified in full or parts, either in manual or electronic form is prohibited unless a
written approval is obtained. This document has been downloaded from www.mathbuster.in for personal and non-commercial use. For any queries, contact math@elipsis.in
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Q1. Each side of a triangle is increased to n times of its actual length. What is the ratio of the
area of the triangle so formed to the actual triangle?
a) n : 1 b) 1 : n
c) n2
: 1 d) 2n : 1
Q2. P is a point in the interior of an equilateral triangle ABC. The lengths of the perpendiculars
drawn from P to the sides AB, BC and CA are x, y, and z respectively. What is the area of
the triangle ABC?
a)
( )
3
x y z
b)
2
( )
3
x y z
c)
2
( )
3
x y z
d)
2 2 2
( )
3
x y z
Q3. In an equilateral triangle, perpendiculars are drawn on the three sides from an interior
point. The lengths of the perpendiculars are 2 cm, 3 cm and 5 3 1 cm . Which of these
is the side of the triangle?
a) 6 cm b) 8 cm
c) 12 cm d) 10 cm
Q4. In an isosceles triangle, the base is b units. If the perimeter of the triangle is p units, which
of these gives the area of the triangle?
a) 2
2
4
b
p bp sq units b) 2
2
b
p bp sq units
c) 2
2p b p b sq units d) 21
2
2
p b p bp sq units
2. MB0912: Herons Formula
HOTS Quiz
1350+ Videos;
Well-detailed solutions to 3500+ problems
Practice assignments
Get FREE Help in Maths at www.mathbuster.in
HOTS quizzes
Self-assessment quizzes
Model Test Papers
Expert guidance by mathematicians
Buy Your Online Subscription Today (Starting at Rs. 199 per month) and Enjoy:
24 x 7 x 365 Access
to high quality content to learn, practice and assess.
24 x 7 x 365 Question & Answer Forum
to get the best help for your doubts and difficulties.
Learn math anywhere, anytime with
students from across India and abroad.
息 2013 2018, ECPL, New Delhi. This document is part of the MathBuster online education program. All intellectual rights associated to this document directly or indirectly are
owned by ECPL and any reproduction, derivation or distribution of this document in original or modified in full or parts, either in manual or electronic form is prohibited unless a
written approval is obtained. This document has been downloaded from www.mathbuster.in for personal and non-commercial use. For any queries, contact math@elipsis.in
2
Q5 Two of the sides of a triangle measure 30 cm, and 22 cm, and the smallest altitude is
12 3 cm . Which of these is/are the additional information needed to find the measure of
the third side?
a) Third side is the largest of the triangle.
b) Third side is the smallest side of the triangle.
c) Area of triangle.
d) The measure of the third side of the triangle cannot be calculated.
3. MB0912: Herons Formula
HOTS Quiz
1350+ Videos;
Well-detailed solutions to 3500+ problems
Practice assignments
Get FREE Help in Maths at www.mathbuster.in
HOTS quizzes
Self-assessment quizzes
Model Test Papers
Expert guidance by mathematicians
Buy Your Online Subscription Today (Starting at Rs. 199 per month) and Enjoy:
24 x 7 x 365 Access
to high quality content to learn, practice and assess.
24 x 7 x 365 Question & Answer Forum
to get the best help for your doubts and difficulties.
Learn math anywhere, anytime with
students from across India and abroad.
息 2013 2018, ECPL, New Delhi. This document is part of the MathBuster online education program. All intellectual rights associated to this document directly or indirectly are
owned by ECPL and any reproduction, derivation or distribution of this document in original or modified in full or parts, either in manual or electronic form is prohibited unless a
written approval is obtained. This document has been downloaded from www.mathbuster.in for personal and non-commercial use. For any queries, contact math@elipsis.in
3
Q5. In the given figure, PQRS is a rectangle, RST and PUS are equilateral triangles.
What is the relation between a and b?
a) a : b = 1 : 2 b) a + b = 30
c) a + b = 60属 d) a : b = 2 : 3