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Classification of Triangles Based on Sides

Question 1 a ...

Question

Question 1 (a)

Name the type of the following triangle:

Triangle with lengths of sides 7 cm, 8 cm and 9 cm.

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Solution

A triangle whose all sides are of different length is known as a Scalene triangle.
Hence the triangle with sides 7 cm, 8 cm and 9 cm is a scalene triangle.

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Q. Name the types of following triangles:
Triangle with length of sides

7 c m, 8 c m

9 c m

Q. What is the area of the triangle having sides of length

7 c m, 8 c m

9 c m

Question 1 (b)

Name the type of the following triangle:

$Δ A B C$ with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.

Which of the following combinations are not possible for a triangle?

I.Sides as 4 cm, 9 cm, 13 cm.

II.Two obtuse angles.

III.Two acute angles.

IV. Sides as 9 cm, 8 cm and 7 cm.

Q. Question 11
Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.

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Classification of Triangles Based on Sides

Standard VI Mathematics

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