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The three sides lengths of four triangles are given. Which triangle is a right triangle?

A- Triangle 2: 8,15,17
B-Triangle 3: 15, 16, 23
C- Triangle 1: 10, √65, 14
D- Triangle 4: 9, √260, 19

Sagot :

sqdancefan

9514 1404 393

Answer:

  A-  Triangle 2: {8, 15, 17}

Step-by-step explanation:

You may recognize that the triple of choice A is a Pythagorean triple, so can be the side lengths of a right triangle.

Checking the numbers can be done nicely by a graphing calculator or spreadsheet to help avoid the tedium of doing it "by hand".

The basic idea is that the triangle will be a right triangle if the sum of the squares of the shorter sides is the square of the longer side.

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