Sum of two sides of a triangle is ____ than the third side.

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Detailed Solution

Concept: Sum of two sides of a triangle is more than the third side In order to answer this question, we will first create a diagram and then, by expanding a triangle's side, we will make use of the isosceles triangle property.
ABC be a triangle

We can draw a straight line by extending BA past A.
After that, there is a point D where DA = CA.

∠ ADC = ∠ ACD

is the result of the isosceles triangle having two equal angles.
Consequently, in ΔDCB, ∠BCD>∠BDC [Greater angle's opposing side is larger]
As a result

, BD > CD BA + AD > CD [since AC = AD]

BA + AC > CD

The triangle's third side cannot be greater than the total of any two of its sides, hence "A" is the proper response.
Hence, the correct answer is Greater
ExamType: CBSE

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