The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between city A and city C is 51 miles.

What type of triangle is created by the three cities?

an acute triangle, because 222 + 542 >512
an acute triangle, because 222 + 512 >542
an obtuse triangle, because 222 + 542 >512
an obtuse triangle, because 222 + 512 >542

Respuesta :

The type of triangle that is created by the three cities is an obtuse triangle, because 22 + 51 > 54.

What is an obtuse triangle?

Obtuse triangle is a type of triangle in which any of its angle is greater than 90 degrees, and the sum of the interior angles must by equal to 180 degrees.

Considering length AB and AC = 22 miles + 51 miles = 73 miles

The sum of length AB and AC is greater than length BC, and the opposite angle of side BC is greater than 90 degrees.

Thus, the type of triangle that is created by the three cities is an obtuse triangle, because 22 + 51 > 54.

Learn more about obtuse triangle here: https://brainly.com/question/5023725

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