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Number of measurements necessary for determination of a quadrilateral

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Question

Fill in the following blanks :
In every triangle, the sum of (interior) angles of a triangle = __________ right angles.

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Solution

Sum of all the interior angles of a triangle is $180 °$ which can be written as $2 \times 90 °$
Hence it can be called as $2$ right angles.

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Q. Fill in the blanks to make the following statements true:

(i) Sum of the angles of a triangle is ....

(ii) An exterior angle of a triangle is equal to the two ....... opposite angles.

(iii) An exterior angle of a triangle is always ......... than either of the interior opposite angles.

(iv) A triangle cannot have more than ...... right angles.

(v) A triangles cannot have more than ......obtuse angles.

Q. Fill in the blanks:

(i) A right triangle cannot have an ...... angle.
(ii) The acute angles of a right triangle are ...... .
(iii) Each acute angle of an isosceles right triangle measures ...... .
(iv) Each angle of an equilateral triangle measures ...... .
(v) The side opposite the right angle of a right triangle is called ...... .
(vi) The sum of the lengths of the sides of a triangle is called its...... .

Which of the following statements are true (T) and which are fales (F):

(i) Sum of the three angles of a triangle is $180^{\circ}$ .

(ii) A triangle can have two right angles .

(iii) All the angles of a triangle can be less than $60^{\circ}$ .

(iv) All the angles of a triangle can be greater than $60^{\circ}$ .

(v) All the angles of a triangle can be equal to $60^{\circ}$ .

(vi) A triangle can have two obtuse angles .

(vii) A triangle can have at most one obtuse angle.

(viii) If one angle of a triangle is obtuse, then it cannot be a right angled triangle.

(ix) An exterior angle of a triangle is less than either of its interior opposite angles.

(x) An exerior angle of triangle is equal to the sum of the two interior opposite angles.

(xi) An exterior angle of a triangle is greater than the opposite interior angles.

Q. Fill in the blanks to make the following statements true.

(i) In a right triangle the hypotenuse is the ...... side.

(ii) The sum of three altitudes of a triangle is ....... than its perimeter.

(iii) The sum of any two sides of a triangle is ..... than the third side.

(iv) If two angles of a triangle are unequal, then the smaller angle has the ..... side opposite to it.

(v) Difference of any two sides of a triangle is ...... than the third side.

(vi) If two sides of a triangle are unequal, then the larger side has ...... angle opposite to it.

Fill in the following blanks :

A triangle has ________ sides and _________ interior angles.

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Number of measurements necessary for determination of a quadrilateral

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