SOLUTION: If the hypotenuse of a right triangle is 7.2 meters and one leg is 6.4 meters, what is the length of the other leg?

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Question 964666: If the hypotenuse of a right triangle is 7.2 meters and one leg is 6.4 meters, what is the length of the other leg?

Found 2 solutions by macston, addingup:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
a and b=legs; c=hypotenuse
a%5E2%2Bb%5E2=c%5E2
b%5E2=c%5E2-a%5E2
b%5E2=%287.2m%29%5E2-%286.4m%29%5E2
b%5E2=10.88m%5E2
sqrt%28b%5E2%29=sqrt%2810.88m%5E2%29
b=3.3m
ANSWER: The length of the other leg is 3.3 meters.

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Per Pythagoras:
h=+sqrt%28a%5E2%2Bb%5E2%29 Let's square both sides to get rid of the root:
h%5E2=+a%5E2%2Bb%5E2 We know one leg, let's say it's a. So:
h%5E2-a%5E2=b%5E2 Substitute with numbers:
7.2%5E2-6.4%5E2=+b%5E2
51.84-40.96=+b%5E2Subtract on left, they take the square on both sides, and you get:
b= 3.30