SOLUTION: What is the length of the diagonal of a rectangle with width 8 cm and length 6 cm

Question 481965: What is the length of the diagonal of a rectangle with width 8 cm and length 6
cm
Found 2 solutions by jim_thompson5910, ewatrrr:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

We basically have this triangle set up:

To find the unknown length, we need to use the Pythagorean Theorem.

Remember, the Pythagorean Theorem is where "a" and "b" are the legs of a triangle and "c" is the hypotenuse.

Since the legs are and this means that and

Also, since the hypotenuse is , this means that .

Start with the Pythagorean theorem.

Plug in , ,

Square to get .

Square to get .

Combine like terms.

Rearrange the equation.

Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense).

Simplify the square root.

================================================================

Answer:

So the solution is .

So the length of the diagonal is 10 cm.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,
Re Pythagorean Theorem
diagonal = sqrt(8cm^2 + 6cm^2) = 10cm
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