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Scalene Triangle

A triangle is...

Question

A triangle is said to be $_____$ if each one of its sides has different lengths. [equilateral triangle/ scalene triangle]

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Solution

No two sides of a scalene triangle are equal.
in the figure $A B C$ is a scalene triangle as $A B \neq B C \neq C A$
Hence, a triangle is said to scalene if each one of its sides has different lengths.

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Q. A triangle having sides of different lengths is called
(a) an isosceles triangle
(b) an equilateral triangle
(c) a scalene triangle
(d) a right triangle

Q. In Fig., the length (in cm) of each side has been indicated along the side. State for each triangle whether it is scalene, isosceles or equilateral:

Q. Fill in the blanks.
(i) A triangle has ...... sides, ...... angles and ...... vertices.
(ii) The sum of the angles of a triangle is ...... .
(iii) The sides of a scalene triangle are of ....... lengths.
(iv) Each angle of an equilateral triangle measures ...... .
(v) The angles opposite to equal sides of an isosceles triangle are ....... .
(vi) The sum of the lengths of the sides of a triangle is called its .......... .

Q. Choose the lengths of the sides yourself and draw one equilateral, one isosceles and one scalene triangle.

A triangle is said to be $______$ if each one of its sides has the same length. [equilateral/isosceles]

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