In a right angled triangle, altitude divides the hypotenuse into two segments of length 8 units and 18 units, then the length of the smallest side is
(correct answer + 1, wrong answer - 0.25)
A
8√2 units
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B
6√13 units
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C
4√13 units
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D
8√3 units
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Solution
The correct option is C4√13 units
∠ABD=∠CAD=θ and ∠ADB=∠ADC=90∘ ⇒ΔABD and ΔCAD are similar triangle. ∴CDAD=ADBD ⇒8AD=AD18 ⇒AD=12
Now, smallest side, AC=√82+122=4√13 units