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Question

In triangle ABC, right angled at B, if A is made larger and larger till it becomes 90, what can you say about AC and AB if BC = 1 unit?


A

0, 1

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B

1, 1

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C

1 ,0

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D

0, 0

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Solution

The correct option is C

1 ,0


A gets larger and larger in the ABC till it becomes 90.

As A becomes larger and larger, C gets smaller and smaller. The length of the side AB goes on decreasing. The point A gets closer to point B and finally A becomes very close to 90.

C becomes very close to 0 and the side AC becomes almost coinciding the side BC

Therefore, when C is very close to zero, A is very close to 90, then the side AB is nearly zero units and side AC becomes equal to BC which is 1 unit.


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