In this picture, we are told the measure of three angles. This is enough information to find the measure of all the angles.

1) Find the measure of angles DCA, DAC and CBA.

There is also a rule in a triangle that if one angle is larger than another, the opposite side of the big angle must be longer than the opposite side of the smaller angle.

2) Use the rule to put this list of line segments in order from longest to shortest. AB, AC, AD, BC, CD.

Answers in the comments.

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1) Find the measure of angles

DCA, DACandCBA.Answers:

measure of

DCA= 110 degrees.measure of

DAC= 20 degrees.measure of

CBA= 53 degreesThere is also a rule in a triangle that if one angle is larger than another, the opposite side of the big angle must be longer than the opposite side of the smaller angle.

2) Use the rule to put this list of line segments in order from longest to shortest. AB, AC, AD, BC, CD.

Answers:

In the triangle

ADC: AD > AC > CDIn the triangle

ABC: AB > BC > ACIn the triangle

ABD: BD > AD > ABWe can merge the inequalities together to get

AD > AB > BC > AC > CDNot that we were asked, but

BDis the longest side of all.Post a Comment