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MATHS Fill In The Blanks[1 Marks ]

Triangles · MP Board (MPBSE) STD 9 (Madhya Pradesh - English Medium). 27 questions.

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27 questions · timed · auto-graded

Question 21 Mark
Difference of any two sides of a triangle is ___ than the third side.
Answer
Difference of any two sides of a triangle is less than the third side.
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Question 31 Mark
In right triangles $ABC$ and $DEF,$ if hypotenuse $\text{AB}=\text{EF}$ and side $\text{AC}=\text{DE},$ then $\triangle\text{ABC}\cong\triangle$ ________.
Answer
In right triangles $ABC$ and $DEF,$ if hypotenuse $\text{AB}=\text{EF}$ and side $\text{AC}=\text{DE},$ then $\triangle\text{ABC}\cong\triangle EFD.$
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Question 41 Mark

An exterior angle of a triangle is equal to the two ______ opposite angles.

Answer
An exterior angle of a triangle is equal to the two Interior opposite angles
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Question 51 Mark
Drawing a $\triangle\text{ABC}$ with $AB = 3\ cm, BC = 4\ cm$ and $CA = 7\ cm$ is .
Answer
Clearly, $AB + BC = 3 + 4 = 7\ cm = CA$
But sum of any two sides of a triangle is greater than the third side. Hence, it is not possible to draw a triangle with these measurments.
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Question 61 Mark
(Sum of any two sides of a triangle) (twice the median to the 3rd side).
Answer
(Sum of any two sides of a triangle) > (twice the median to the 3rd side).
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Question 81 Mark
If altitudes $CE$ and $BF$ of a triangle $ABC$ are equal, then $AB =$ _______.
Answer
If altitudes $CE$ and $BF$ of a triangle $ABC$ are equal, then $AB = AC.$
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Question 91 Mark
(Difference of any two sides of a triangle) (the third side).
Answer
(Difference of any two sides of a triangle) < (the third side).
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Question 101 Mark
If two sides of a triangle are unequal, then the larger side has ___ angle opposite to it.
Answer
If two sides of a triangle are unequal, then the larger side has greater angle opposite to it.
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Question 111 Mark
A triangles cannot have more than ______ obtuse angles.
Answer
A triangles cannot have more than obtuse One angles.
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Question 121 Mark
In a right triangle the hypotenuse is the ___ side.
Answer
In a right triangle the hypotenuse is the largest side. Reason: Since a triangle can have only one right angle, other two angles must be less than 90. The right angle is the largest angle. Hypotenuse is the largest side.
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Question 131 Mark
Sides opposite to equal angles of a triangle are ____________.
Answer
Sides opposite to equal angles of a triangle are equal.
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Question 141 Mark
In a $\triangle\text{ABC}$ if $\angle\text{A}=\angle\text{C},$ then $\text{AB}=$ ________.
Answer
In a $\triangle\text{ABC}$ if $\angle\text{A}=\angle\text{C},$ then $\text{AB}=$ BC.
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Question 151 Mark
A triangle cannot have more than ______ right angles.
Answer
A triangle cannot have more than One right angles.
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Question 161 Mark
Each angle of an equilateral triangle measures .
Answer
Each angle of an equilateral triangle measures $60^\circ .$
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Question 171 Mark
(Sum of any two sides of a triangle) (the third side)
Answer
(Sum of any two sides of a triangle) > (the third side)
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Question 181 Mark
Angle opposite to equal sides of a triangle are ____________.
Answer
Angle opposite to equal sides of a triangle are equal.
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Question 191 Mark
If two angles of a triangle are unequal, then the smaller angle has the ___ side opposite to it.
Answer
If two angles of a triangle are unequal, then the smaller angle has the smaller side opposite to it.
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Question 201 Mark
In an isosceles triangle $ABC$ with $AB = AC,$ if $BD$ and $CE$ are its altitudes, then $BD$ is ________ $CE.$
Answer
In an isosceles triangle $ABC$ with $AB = AC,$ if $BD$ and $CE$ are its altitudes, then $BD$ is equal to. $CE$
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Question 211 Mark
The sum of any two sides of a triangle is ___ than the third side.
Answer
The sum of any two sides of a triangle is greater than the third side.
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Question 221 Mark
In an equilateral triangle all angles are __________.
Answer
In an equilateral triangle all angles are equal.
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Question 231 Mark
An exterior angle of a triangle is always _______ than either of the interior opposite angles.
Answer
An exterior angle of a triangle is always Greater than either of the interior opposite angles.
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Question 241 Mark
The sum of three altitudes of a triangle is ___ than its perimeter.
Answer
The sum of three altitudes of a triangle is less than its perimeter.
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Question 251 Mark
(Perimenter of a triangle) (sum of its three medians)
Answer
(Perimenter of a triangle) > (sum of its three medians).
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Question 261 Mark
In a right triangle the hypotenuse is the side.
Answer
In a right triangle the hypotenuse is the longest side.
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Question 271 Mark
(Sum of three altitudes of a triangle) (sum of its three side).
Answer
(Sum of three altitudes of a triangle) < (sum of its three side).
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