Sum of two sides of a triangle is greater than the Third Side
Sum of Two Sides of a Triangle is Greater Than The Third Side
Theorem: The sum of any two side of a triangle is greater than the third side.
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Given: To Prove: Construction: Produce side BA to D such that AD = AC. Join CD. Proof: In AC = AD [By construction]
Thus, Similarly, |
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Illustration: Prove that any two sides of a triangle are together greater than twice the median drawn to the third side.
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Given: To Prove: Construction: Produce AD to E such that AD = DE. Join EC. Proof: In AD = DE [By construction] BD = DC [ and, So, by SAS criterion of congruence , we have
Thus, in
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In the given figure, ABCD is a quadrilateral. Then which of the following statement is true?
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| Right Option : D | |||
| View Explanation | |||
In
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| Right Option : B | |||
| View Explanation | |||
Which of the following statements are true? (i) Sum of any two sides of a triangle is greater than the third side. (ii) Any two sides of a triangle are together greater than the median drawn to the third side. | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [10]
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10thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
