If the two sides of an isosceles triangle are and , then the length of the third side is:

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answer is B.

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Detailed Solution

Concept- Given that the triangle in thisQuestion is isosceles and has two equal sides, the answer is yes. Given that the first two sides are not equal, one of these two will make up the third side. We must now determine which of them meets the requirement that the sum of the first two sides is higher than the third side that would result.
A triangle is a polygon with three vertices, three sides, three edges, and three angles.
Triangle of isosceles: An isosceles triangle is one that has two equal sides and angles that are equal to the angles on either side of the equal sides.
Question Image

Triangle properties state that the lengths of a triangle's two longest sides add up to be longer than the length of its third side.
The difference between the lengths of two sides should also be less than the difference between the lengths of the third side.
The two sides of the isosceles triangle are now determined by the suppliedQuestion to be 3 cm and 8 cm.
As the triangle in this instance is isosceles, the third side should be equal to one of the two sides given.
Suppose, for the moment, that the third side is 3 cm.

Here, the triangle's characteristic is not met, and as none of the three alternatives meet the triangle's characteristic, no triangle can be formed.
Thus, the third side cannot be

Now, if we consider the third side as 8cm then we get,

Here, it satisfies the property of triangle
The third side is therefore 8 cm.
Hence, the correct answer is option 2
Syllabus: CBSE

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