In a $△ A B C$ right angled at B , the length AC is 37 cm and AB =12 cm. Find the length of BC.

35 cm

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350 cm

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15 cm

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25 cm

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Solution

The correct option is A
35 cm

In $△ A B C$

Let the measure of BC be $x$

Hence using pythagoras theorem , we have

$A B^{2} + B C^{2} = A C^{2}$

$12^{2} + x^{2} = 37^{2}$

$144 + x^{2} = 1369$

$x^{2} = 1369 - 144$

$x^{2} = 1225$

$x = \sqrt{1225}$

$x = 35 c m$

Hence Length of BC = 35 cm

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In a △ABC right angled at B , the length AC is 37 cm and AB =12 cm. Find the length of BC.

The correct option is A 35 cm In △ABC Let the measure of BC be x Hence using pythagoras theorem , we have AB2+BC2=AC2 122+x2=372 144+x2=1369 x2=1369−144 x2=1225 x=√1225 x=35cm Hence Length of BC = 35 cm

In a $△ A B C$ right angled at B , the length AC is 37 cm and AB =12 cm. Find the length of BC.

The correct option is A
35 cm

In $△ A B C$

Let the measure of BC be $x$

Hence using pythagoras theorem , we have

$A B^{2} + B C^{2} = A C^{2}$

$12^{2} + x^{2} = 37^{2}$

$144 + x^{2} = 1369$

$x^{2} = 1369 - 144$

$x^{2} = 1225$

$x = \sqrt{1225}$

$x = 35 c m$

Hence Length of BC = 35 cm