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In ∆ ABC, ∠A = 90° and AD ⊥ BC where D lies on BC. If BC = 8 cm, AC = 6 cm, then ∆ ABC : ∆ ACD =?
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- 4 : 3
- 25 : 16
- 16 : 9
- 25 : 9
- 4 : 3
Correct Option: C
As per the given in question , we draw a figure triangle ABC 
Here , BC = 8 cm, AC = 6 cm,
In ∆ ABC, AD ⊥ BC
⇒ ∆ BAC ~ ∆ ADC
∴ Ratio of area of triangles = ratio of square of their corresponding sides Hence,
| = | = | ||||
| ar (ADC) | AC² | 36 |
| Ratio of area of triangles = | = 16 : 9 | |
| 9 |
