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Question

Find the value of x and y. (Use Pythagoras theorem).

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A
x=12 and y=3
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B
x=10 and y=5
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C
x=12 and y=5
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D
x=11 and y=5
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Solution

The correct option is B x=12 and y=5
In a right triangle, a2+b2=c2, where a and b are the lengths of the legs and c is the length of the hypotenuse. This is called Pythagoras Theorem.
a=3,b=4,c= hypotenuse side =y
32+42=c2
9+16= c2
c2 =25
Taking root on both the sides, we get
c=5=y
So, x2+y2=132
x2+52=132
x2=16925
x2=144
x=12
So, the value of x=12 and y=5.

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