In the given figure, $∠ A B C = 90^{o}$ and $B D ⊥ A C$ . If $A B = 5.7 c m, B D = 3.8 c m$ and $C D = 5.4 c m$ , Find the length of $B C$ .

8.1 c m

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6.6 c m

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5.6 c m

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7.6 c m

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Solution

The correct option is B $6.6 c m$
In $△ B D C$ ,
$B D^{2} + D C^{2} = B C^{2}$
$(3.8)^{2} + (5.4)^{2} = B C^{2}$
$43.6 = B C^{2}$
$B C = 6.6$ cm

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Similar questions

In the adjoining figure, $∠ A B C = 90^{\circ}$ and $B D ⊥ A C$ . If AB = 5.7 cm, BD = 3.8 cm, CD = 5.4 cm, then find the length of BC.

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In the given figure, $∠ A B C = 90^{o}$ . and $B D ⊥ A C$ . If AB = 5.7 cm, BD = 3.8 cm and CD = 5.4 cm, find BC.

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