Given a triangle ABC where M and N two points such that MB vector equal 3/2 MC vector and NA vector equal 3 NC vector. Prove that (BN) parallel to (AM)

9514 1404 393

  (30, 72, 78)

Step-by-step explanation:

When testing a number of triples to see if they are Pythagorean triples, it can be convenient to let a spreadsheet do the math. The attachment shows us the triple at lower left (30, 72, 78) is a Pythagorean triple. That is, the sum of the squares of the smaller two numbers is the square of the larger, so they can form a right triangle.

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You may recognize these numbers have the ratios 5:12:13, the ratios of an often-used triple.