book Maths Puzzle Numerical Ability

Triangle ABC has vertices A(0,4), B(1,2), and C(4,6). Determine whether triangle ABC is a right triangle. Explain.

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book Other Question

Peter drove to work at 40 miles per hour and arrived one minute late. If he had driven at 45 miles per hour, he would have arrived one minute early. How far does Peter drive to work? Please explain and solve. Find the vale of x that makes the median the given number:

2,5,4,9,7,x median 6