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NCERT Exemplar · Class 7 · Maths

Chapter 6: Triangles

Practice each question, then open the answer or worked solution.

Questions

80 questions
Q71Written answer

Sum of two sides of a triangle is greater than or equal to the third side.

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Worked solution

Solution: –

False

The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

Q72Written answer

The difference between the lengths of any two sides of a triangle is smaller than the length of the third side.

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Worked solution

Solution: –

True.

Q73Written answer

In ∆ABC, AB = 3.5 cm, AC = 5 cm, BC = 6 cm and in ∆PQR, PR= 3.5 cm, PQ = 5 cm, RQ = 6 cm. Then ∆ABC ≅ ∆PQR.

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Worked solution

Solution: –

False

In ∆ABC, AB = 3.5 cm, AC = 5 cm, BC = 6 cm and in ∆PQR, PR= 3.5 cm, PQ = 5 cm, RQ = 6 cm. Then ∆ABC ≅ ∆PRQ

Q74Written answer

Sum of any two angles of a triangle is always greater than the third angle.

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Solution: –

False

Sum of any two angles of a triangle is either greater than the third angle or smaller than the third angle.

Q75Written answer

The sum of the measures of three angles of a triangle is greater than 180o.

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Solution: –

False

The sum of the measures of three angles of a triangle is equal to 180o.

Q76Written answer

It is possible to have a right-angled equilateral triangle.

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Solution: –

False

In a right angled triangle, sum of squares of two sides is equal to the square of the third side.

But, in equilateral triangle all sides are always equal.

Q77Written answer

If M is the mid-point of a line segment AB, then we can say that AM and MB are congruent.

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Worked solution

Solution: –

True

NCERT Exemplar Class 7 Maths Solutions Chapter 6 Image 27

In the figure, M is the midpoint,

So, AM = MB

Q78Written answer

It is possible to have a triangle in which two of the angles are right angles.

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Worked solution

Solution: –

False.

It is not possible to have a triangle in which two of the angles are right angles.

Q79Written answer

It is possible to have a triangle in which two of the angles are obtuse.

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Solution: –

False.

It is not possible to have a triangle in which two of the angles are obtuse

Q80Written answer

It is possible to have a triangle in which two angles are acute.

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Worked solution

Solution: –

True.