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In a right triangle the length of a hypotenuse is c and the length of one leg is a. Find the length of the other leg b, if:

c=6, a=5

34 points to the first one who gets it correct

User DhrDatt
by
8.6k points

2 Answers

4 votes

Use the Pythagorean theorem


a^2+b^2=c^2

a,b - legs

c - hypotenuse

We have c = 6 and a = 5. Substitute:


5^2+b^2=6^2


25+b^2=36 subtract 25 from both sides


b^2=11\to \boxed{b=√(11)}

User Ishwar Venugopal
by
8.3k points
2 votes

Answer:

b = sqrt(11)

Explanation:

Using the Pythagorean theorem

a^2 + b^2 = c^2

and substituting what we know

5^2 + b^2= 6^2

25 + b^2 = 36

Subtract 25 from each side

25-25 + b^2 = 36-25

b^2 = 11

Take the square root of each side.

sqrt(b^2) = sqrt(11)

b = sqrt(11)

We only take the positive because length must be positive.

User Louth
by
7.2k points

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