Posted by melissa on Friday, February 20, 2009 at 11:52am.
a. Compute the distances AB, AC and BC and show that the square of the largest number equals the squares of the two others. Most of the other questions will be obvious after you have done that. The hypotenuse will be the longest side.
The length of AB is sqrt[(9-1)^2 + (3-7)^2] = sqrt(64 + 16) = sqrt 80
The length of BC is sqrt[6^2 + 2^2] = sqrt 40.
The length of AC is sqrt[2^2 + 6^2] = sqrt 40
The triangle is a right triangle and the longest side is AB. The right angle will be opposite that side, at C.
Obviously the two short legs are equal in length. That tells you the answer to g.
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