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Foreverisabell
 3 years ago
Find the measure of angle DCA if D is the incenter of the triangle ABC.
Explain step by step please!
Foreverisabell
 3 years ago
Find the measure of angle DCA if D is the incenter of the triangle ABC. Explain step by step please!

This Question is Closed

Foreverisabell
 3 years ago
Best ResponseYou've already chosen the best response.0@ZeHanz this one.

ZeHanz
 3 years ago
Best ResponseYou've already chosen the best response.1OK, the incenter is the intersection of the angle bisectors. You have two more angles now!

Foreverisabell
 3 years ago
Best ResponseYou've already chosen the best response.0Also in this one, would y = 60?

ZeHanz
 3 years ago
Best ResponseYou've already chosen the best response.1y=60 degrees, if the triangle is supposed to be equilateral.

Foreverisabell
 3 years ago
Best ResponseYou've already chosen the best response.0alright , now for the other problem, how do you find the measure of angle DCA?

ZeHanz
 3 years ago
Best ResponseYou've already chosen the best response.1Better question, what are the measures of the angles CAB and ABC?

Foreverisabell
 3 years ago
Best ResponseYou've already chosen the best response.0111 is the measure of ABC

Foreverisabell
 3 years ago
Best ResponseYou've already chosen the best response.0I meant they all equal 180. But the missing one is 111.

ZeHanz
 3 years ago
Best ResponseYou've already chosen the best response.1DOn't know how you get these numbers. Remember: the lines drawn to the incenter are the angle bisectors. That means: angle CAB = 2*32 = ... angle ABC = 2*37 = ... Add these and subtract from 180 to get angle ACB.

Foreverisabell
 3 years ago
Best ResponseYou've already chosen the best response.0But why did you times 2 times each?

Foreverisabell
 3 years ago
Best ResponseYou've already chosen the best response.0never mind I know why now.

Foreverisabell
 3 years ago
Best ResponseYou've already chosen the best response.0So the measure of angle DCA would be 32 + 42 + what?

ZeHanz
 3 years ago
Best ResponseYou've already chosen the best response.1Look at the drawing. The numbers are the measures of half the angles, because the lines to the incenter are the: angle b i s e c t o r s...

ZeHanz
 3 years ago
Best ResponseYou've already chosen the best response.1DC is bisector of the angle we just found: 42 degrees, so 21 degrees is the measure of DCA!

Foreverisabell
 3 years ago
Best ResponseYou've already chosen the best response.0But I thought the wanted the measure of the whole angle?

Foreverisabell
 3 years ago
Best ResponseYou've already chosen the best response.0Measure of DCA = 21 degrees it seems really small?

ZeHanz
 3 years ago
Best ResponseYou've already chosen the best response.1I'll make a drawing, hold on...

Foreverisabell
 3 years ago
Best ResponseYou've already chosen the best response.0Im pretty sure I understand now. They just want the measure of C?

Foreverisabell
 3 years ago
Best ResponseYou've already chosen the best response.0Also I know that a squared + b squared = c squared. But this triangles does not show any angles so except 90 degrees. So Im not sure how to find x?

ZeHanz
 3 years ago
Best ResponseYou've already chosen the best response.1If there is a right angle in the triangle (there is!) then a²+12²=20². You can work out a now.

Foreverisabell
 3 years ago
Best ResponseYou've already chosen the best response.0Yeah But I can't seem to get it? how to get a?
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