Question

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

A

1, 1

B

0, 1

C

1, 0

D

0, 0

Solution

The correct option is B 0, 1 As ∠A gets smaller and smaller, the length of the side BC decreases. The point C gets closer to point B and finally ∠A becomes very close to zero. AC becomes almost the same as AB. So, when ∠A is very close to 0∘,  AC is nearly the same as AB and BC tends to achieve the value zero . ∴ Length of BC becomes 0 units and length of AC becomes almost 1 unit. Mathematics

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