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Maths 1 Mark Question

Properties of Triangles · Maharashtra Board STD 7 (MSBSHSE - Semi English Medium). 22 questions.

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22 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
If P is a point in the interior of $\triangle\text{ABC}$ then fill in the blanks with > or < or =.
PB + PC BC
Answer
PB + PC > BCSolution:
In $\triangle\text{PBC},$ PB + PC > BC (sum of two sides is greater than its third side)
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Question 21 Mark
Answer the following in 'Yes' or 'No'.
Can an isosceles triangle be a right triangle?
Answer
Yes, it will be an isosceles right triangle.
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Question 31 Mark
Fill in the blanks:
Of all the line segments that can be drawn to a given line from a given point outside it, the is the shortest.
Answer
Of all the line segments that can be drawn to a given line from a given point outside it, the perpendicular is the shortest.
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Question 41 Mark
Answer the following in 'Yes' or 'No'.
Can a right triangle be a scalene triangle?
Answer
Yes, a right triangle can have all sides of different measures. For example, 3, 4 and 5 are the sides of a scalene right triangle.
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Question 51 Mark
Fill in the blanks:
A right triangle cannot have an angle.
Answer
A right triangle cannot have an obtuse angle.Solution:
Obtuse (since the sum of the other two angles of the right triangle is 90°)
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Question 71 Mark
Fill in the blanks:
Each acute angle of an isosceles right triangle measures .
Answer
Each acute angle of an isosceles right triangle measures 45°.Solution:
45° (since their sum is equal to 90°)
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Question 81 Mark
If P is a point in the interior of $\triangle\text{ABC}$ then fill in the blanks with > or < or =.
AC PA + PC
Answer
AC < PA + PCSolution:
In $\triangle\text{PAC},$ AC < PA + PC (PA + PC > AC)
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Question 91 Mark
Fill in the blanks:
The sum of the lengths of the sides of a triangle is called its .
Answer
The sum of the lengths of the sides of a triangle is called its perimeter.
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Question 111 Mark
Can a triangle have all angles less than 60°?
Answer
No, this is because one angle has to more than 60° as the sum of all angles is always 180°.
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Question 121 Mark
Fill in the blanks:
The side opposite the right angle of a right triangle is called .
Answer
The side opposite the right angle of a right triangle is called a hypotenuse.
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Question 131 Mark
Fill in the blanks:
The acute angles of a right triangle are .
Answer
The acute angles of a right triangle are equal to the sum of 90°
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Question 141 Mark
If P is a point in the interior of $\triangle\text{ABC}$ then fill in the blanks with > or < or =.
PA + PB AB
Answer
PA + PB > ABSolution:
In $\triangle\text{ABC},$ PA + PB > AB (sum of two sides is greater than its third side)
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Question 151 Mark
Answer the following in 'Yes' or 'No'.
Can an obtuse triangle be an isosceles triangle?
Answer
Yes, if an obtuse triangle has an obtuse angle of 120° and the other two angles of 30° each, then it will be an isosceles triangle.
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Question 171 Mark
Answer the following in 'Yes' or 'No'.
Can a right triangle be an equilateral triangle?
Answer
No, it cannot be an equilateral triangle since the hypotenuse sqaure will be the sum of the square of the other two sides.
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Question 181 Mark
Fill in the blanks:
In a right triangle, the square of the hypotenuse is equal to the of the squares of the other two sides.
Answer
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
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Question 201 Mark
Can a triangle have all angles more than $60^\circ$?
Answer
No, this is because the sum of the angles cannot be more than $180^\circ$.
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Question 211 Mark
Fill in the blanks:
Each angle of an equilateral triangle measures .
Answer
Each angle of an equilateral triangle measures 60°.
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Question 221 Mark
Fill in the blanks:
If the square of one side of a triangle s equal to the sum of the squares of the other two sides then the triangle is .
Answer
If the square of one side of a triangle s equal to the sum of the squares of the other two sides then the triangle is a right angled.
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