Question

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

• A. 0, 1
• B. 1, 1
• C. 1 ,0
• D. 0, 0

Answer 1

The correct option is C

1 ,0

$\angle$A gets larger and larger in the $△$ABC till it becomes ${90}^{\circ }$.

As $\angle$A becomes larger and larger, $\angle$C gets smaller and smaller. The length of the side AB goes on decreasing. The point A gets closer to point B and finally $\angle$A becomes very close to ${90}^{\circ }$.

$\angle$C becomes very close to $0^{\circ }$ and the side AC becomes almost coinciding the side BC

Therefore, when $\angle$C is very close to zero, $\angle$A is very close to ${90}^{\circ }$, then the side AB is nearly zero units and side AC becomes equal to BC which is 1 unit.