) In a right triangle, a and b are the lengths of the legs and c is the length of the

hypotenuse. If b = 5.4 millimeters and c= 8.3 millimeters, what is a? If necessary, round to

the nearest tenth.

  6.3 mm

Step-by-step explanation:

The Pythagorean theorem tells you ...

  c^2 = a^2 + b^2

Solving for "a", you get

  a = √(c^2 -b^2)

  a = √(8.3^2 -5.4^2) = √39.73

  a ≈ 6.3 . . . . mm

The length of "a" is about 6.3 mm.

If b is equal to 5.4 millimeters and c is equal to 8.3 millimeters, then a has to be equal to 6.3 millimeters.

Step-by-step explanation:

1. Know the Pythagorean Theorem

2. Rearrange the equation so we can find a.

3. Plug in the numbers for b and c because that is what we are given in the problem.

4. Simplify the expressions.

5. Subtract 29.16 from 68.89.

6. Square root the expressions on both sides of the equation.

7. Simplify the equation.

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step-by-step explanation: