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Standard IX

Mathematics

Trigonometric Ratio(sin,cos,tan)

The angle ABC...

Question

The angle ABC and BDC are right angles. If AD=9cm and DC=16cm and AB=15cm, then the length of BD is :

12 cm

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16 cm

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15 cm

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25 cm

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Solution

The correct option is A
12 cm

$B D^{2} = A B^{2} - A D^{2} = 15^{2} - 9^{2} = 225 - 81 = 144 c m^{2}$

$B D = 12 c m$ .

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The angle ABC and BDC are right angles. If AD=9cm and DC=16cm and AB=15cm, then the length of BD is :

The correct option is A 12 cm BD2=AB2−AD2=152−92=225−81=144cm2 BD=12cm.

The correct option is A
12 cm

$B D^{2} = A B^{2} - A D^{2} = 15^{2} - 9^{2} = 225 - 81 = 144 c m^{2}$

$B D = 12 c m$ .