The variables a and b represent the legs of a right triangle. The variable c represents the hypotenuse. Use the Pythagorean theorem to find the missing side. Write exact answers using radicals when necessary. A = 3, c = 5, find b.

Given:

a and b are two legs of a right triangle and c is hypotenuse.

a=3 and c=5

To find:

The value of b.

Solution:

According to the Pythagoras theorem,

Using Pythagoras theorem, we get

Now, putting a=3 and c=5, we get

Taking square root on both sides.

The measure of side of a triangle cannot be negative. So, only value of b is 4.

Therefore, the value of b is 4.

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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