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Mathematics 17 Online
OpenStudy (anonymous):

A triangle has one angle that measures 35 degrees, one angle that measures 40 degrees, and one angle that measures 105 degrees. What kind of triangle is it? A. equilateral triangle B. isosceles triangle C. scalene triangle D. right triangle

OpenStudy (mathstudent55):

Do you know what each term in the choices means?

OpenStudy (anonymous):

no.. @mathstudent55

OpenStudy (mathstudent55):

Ok. Let's start with that.

OpenStudy (mathstudent55):

Equilateral triangle: all sides are congruent (equal length). Isosceles triangle: at least two sides are congruent. Scalene triangle: no two sides are congruent. Right triangle: one angle is a right angle.

OpenStudy (mathstudent55):

A right angle measures 90 degrees. Is there a right angle in your triangle?

OpenStudy (anonymous):

It would be scalene triangle? @mathstudent55

OpenStudy (mathstudent55):

Correct.

OpenStudy (mathstudent55):

The lengths of the sides of a triangle are proportional to the measures of the opposite angles. Since all angles are different, all sides are different. That makes it scalene. Since there is no right angle it is not a right triangle either. The correct answer is C. scalene triangle.

OpenStudy (anonymous):

thanksss

OpenStudy (mathstudent55):

You're welcome.

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