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Strike441 [17]
3 years ago
9

If the length of one leg of a right triangle is 3 and the hypotenuse is √34, what is the length of the other leg?

Mathematics
1 answer:
Elenna [48]3 years ago
3 0

To answer this question you must use Pythagorean theorem

a^{2} +b^{2}=c^{2}

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = 3

b = unknown

c = √34

^^^Plug these numbers into the theorem

3^{2} +b^{2} =√34^{2}

Simplify

9 + b² = 34

solve for b

b^{2} = 25

Take the square root of both sides to cancel out the square from the b

√b² = √25

b = 5

Hope this helped!

~Just a girl in love with Shawn Mendes

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