Angle opposite to longer side is greater
Angle Opposite to Longer Side is Greater
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Theorem: In a triangle the greater angle has the longer side opposite to it. Given: A To Prove: Proof: In
Out of these three possibilities exactly one must be true. |
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Case I: When AC = AB
As AC = AB [Angles opp. to equal sides are equal]
But as is given it contradicts our assumption.
CASE II: When
[
Longer side has the greatest angle opposite to it]
This also contradicts the given statement.
Thus, we are left with the only possibility, , which must be true.
Hence, .
In the following figure, AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD. Then the relation between the
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| Right Option : A | |||
| View Explanation | |||
Fill in the blank to make the following statement true. If two angles of a triangle are unequal, then the smaller angle has the _____________________ side opposite to it. | |||
| Right Option : C | |||
| View Explanation | |||
In the given figure, the measure of _____________ is greatest.
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| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [10]
My experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
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Cheshta
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Om Umang
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8thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
