You fly 470 miles westward from chcago, illinois, to omaha, nebraska. you then fly 437 miles to st. louis , missouri. finally, you fly 300miles back to chicago. is the triangle fromed by your trip acute, right, or obtuse? use math to explain your reasoning

europa2433

europa2433

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

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step-by-step explanation: