If one leg of a triangle is 4 feet and the other leg is 12 feet, what is the hypotenuse?

Answer 1

Sadie Adams

#4sqrt10approx12.6491#

The Pythagorean Theorem states that

#a^2+b^2=c^2#

where #a,b# are legs in a right triangle and #c# is the hypotenuse (the longest side).

So, we know that #a=4# and #b=12# and we want to find #c#.

#4^2+12^2=c^2#

#16+144=c^2#

#c^2=160#

#c=sqrt160#

#c=sqrt(16xx10)#

#c=sqrt16xxsqrt10#

#c=4sqrt10approx12.6491#

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Answer 2

Avery Allen

Using the Pythagorean theorem, where ( c ) represents the hypotenuse and ( a ) and ( b ) represent the legs of the triangle:

[ c^2 = a^2 + b^2 ]

Substitute the given values:

[ c^2 = 4^2 + 12^2 ]

[ c^2 = 16 + 144 ]

[ c^2 = 160 ]

[ c = \sqrt{160} ]

[ c \approx 12.65 \text{ feet} ]

So, the hypotenuse is approximately 12.65 feet.

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Answer from HIX Tutor

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