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In a right angled triangle if hypotenuse is 20 cm and ratio of other two sides is 4 : 3, the lengths of the sides are
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- 4 cm. and 3 cm.
- 8 cm. and 6 cm.
- 12 cm. and 9 cm.
- 16 cm. and 12 cm
- 4 cm. and 3 cm.
Correct Option: D
Let the other sides of right angled triangle be 4y and 3y cm.
∴ (Perpendicular)² + (Base)² = (Hypotenuse)²
⇒ (4y)² + (3y)² = (20)²
⇒ 16y² + 9y² = 400
⇒ 25y² = 400
| ⇒ y² = | = 16 | |
| 25 |
∴ y = √16 = 4
∴ Other sides of triangle = 4y = 4 × 4 = 16 cm. and 3y = 3 × 4 = 12 cm.
