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 one year ago
Find the measure of angle DCA if D is the incenter of the triangle ABC.
Explain step by step please!
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0@ZeHanz this one.

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

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

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

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

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

ZeHanz
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0But why did you times 2 times each?

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

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

ZeHanz
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0But I thought the wanted the measure of the whole angle?

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

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

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

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

ZeHanz
 one year ago
Best ResponseYou've already chosen the best response.1a²=256, so a=16, right!
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