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A right triangle's hypotenuse has length 5. If one leg has length 3, what is the length of the other leg?

User Iskeraet
by
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2 Answers

7 votes
Answer:

a^2 + b^2 = c^2
3^2 + b^2 = 5^2
9 + b^2 = 25
b = _/16
b = 4

Step-by-step explanation:

Pythagorean Theorem
User Gordon Fontenot
by
8.7k points
6 votes

Answer:

The length of the other leg will be = 4

Step-by-step explanation:

You have to use your Pythagoras theorem to determine the length of the other leg.

Hypotenuse^2=a^2+b^2

since you are given the length of the hypotenuse and one leg you can change the formula to:

b^2 = h^2 - a^2

b = √h^2-a^2

b=√5^2-3^2

b=√25-9

b=√16

b=4

User Matthew Baker
by
7.8k points

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