Please Help! 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

9514 1404 393

  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.

So a translation is the same as a rotation at infinity with a finite tangential velocity. ... A rotation motion corresponds to a force acting on a body towards a direction perpendicular to its velocity. However, in a translation the force is acting parallel to the velocity.