BLANKS [1 Marks Each]

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 > BC

Solution:

In $\triangle\text{PBC},$

PB + PC > BC (sum of two sides is greater than its third side)

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Question 21 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 > AB

Solution:

In $\triangle\text{ABC},$

PA + PB > AB (sum of two sides is greater than its third side)

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Question 31 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 + PC

Solution:

In $\triangle\text{PAC},$

AC < PA + PC (PA + PC > AC)

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Question 41 Mark

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 51 Mark

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 61 Mark

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 71 Mark

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 81 Mark

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 91 Mark

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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Question 101 Mark

Each angle of an equilateral triangle measures __________

Answer

Each angle of an equilateral triangle measures 60°.

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Question 111 Mark

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 121 Mark

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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MATHS BLANKS [1 Marks Each]

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