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The hypotenuse of a right triangle is 28 units and the length of one of the legs is 14 units. What is the length of the other leg in the simplest radical form?

2 Answers

5 votes

Answer:

proably The length of the other leg in the simplest radical form is

Explanation:

User Egervari
by
8.2k points
7 votes

Answer:

The length of the other leg in the simplest radical form is
14√(3)

Explanation:

Let's assume

hypotenuse of a right triangle is 'c'

one of the leg is 'a'

other leg is 'b'

we are given

The hypotenuse of a right triangle is 28 units

so,
c=28

the length of one of the legs is 14 units

so,
a=14

now, we can use Pythagoras theorem


c^2=a^2+b^2

now, we can plug values


28^2=14^2+b^2

now, we can solve for b


b^2=588


b=√(588)


b=14√(3)

User Jayesh Singh
by
7.8k points

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