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In a right-angled triangle, the product of two sides is equal to half of the square of the third side i.e., hypotenuse. One of the acute angle must be
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- 60°
- 30°
- 45°
- 15°
- 60°
Correct Option: C
On the basis of question we draw a figure of triangle ABC , 
| AB × BC = | ||
| 2 |
⇒ AC² = 2 AB × BC
⇒ AB² + BC² = 2 AB × BC
⇒ (AB – BC)² = 0
⇒ AB = BC
∴ ∠BAC = ∠ACB = 45°
