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The ratio of sides of a triangle is 3 : 4 : 5. If area of the triangle is 72 square unit, then the length of the smallest side is :
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- 4√3 unit
- 5√ unit
- 6√ unit
- 3√ unit
- 4√3 unit
Correct Option: C
Using Rule 1,
Here, (3x)² + (4x)² = (5x)²
∴ It is a right angled triangle.
So, Area of the triangle
| = | × 3x × 4x = 6x² | |
| 2 |
∴ 6x² = 72 ⇒ x² = 12
⇒ x = 2√3
Hence, Smallest side = 3x = 6√3 units
