Question

If the endpoint of the diagonal lies at D(-4,-6) and E(5,4), find the length of the diagonal. (Round - off your answer to the nearest hundredths and do not write any unit in your final answer.)

Answer 1

Answer:

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Answer 2

Answer:

Explanation:

Diagonal d forms a triangle with adjacent sides a. Since this is a square we know this is a right triangle and we can use the Pythagorean Theorem to determine the length of d. Sides of length a form each of the legs and d is the hypotenuse. So the equation looks like this:

122+122=d2

Solve for d

144+144=d2

288=d2

d=288−−−√

We can simplify this to

144⋅2−−−−−√=144−−−√⋅2–√=122–√