anonymous
  • anonymous
Find the measure of angle DCA if D is the incenter of the triangle ABC. Explain step by step please!
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
anonymous
  • anonymous
@ZeHanz this one.
ZeHanz
  • ZeHanz
OK, the incenter is the intersection of the angle bisectors. You have two more angles now!

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Also in this one, would y = 60?
anonymous
  • anonymous
Alright,
ZeHanz
  • ZeHanz
y=60 degrees, if the triangle is supposed to be equilateral.
anonymous
  • anonymous
alright , now for the other problem, how do you find the measure of angle DCA?
ZeHanz
  • ZeHanz
Better question, what are the measures of the angles CAB and ABC?
anonymous
  • anonymous
111 is the measure of ABC
anonymous
  • anonymous
I meant they all equal 180. But the missing one is 111.
anonymous
  • anonymous
which is c?
ZeHanz
  • ZeHanz
DOn'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.
anonymous
  • anonymous
yeah I got 42.
ZeHanz
  • ZeHanz
That's right!
anonymous
  • anonymous
But why did you times 2 times each?
anonymous
  • anonymous
never mind I know why now.
anonymous
  • anonymous
So the measure of angle DCA would be 32 + 42 + what?
ZeHanz
  • ZeHanz
Look 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
  • ZeHanz
DC is bisector of the angle we just found: 42 degrees, so 21 degrees is the measure of DCA!
anonymous
  • anonymous
But I thought the wanted the measure of the whole angle?
anonymous
  • anonymous
Measure of DCA = 21 degrees it seems really small?
ZeHanz
  • ZeHanz
I'll make a drawing, hold on...
anonymous
  • anonymous
alright
anonymous
  • anonymous
Im pretty sure I understand now. They just want the measure of C?
anonymous
  • anonymous
Also 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?
anonymous
  • anonymous
@ZeHanz
ZeHanz
  • ZeHanz
If there is a right angle in the triangle (there is!) then a²+12²=20². You can work out a now.
anonymous
  • anonymous
Yeah But I can't seem to get it? how to get a?
anonymous
  • anonymous
@ZeHanz
ZeHanz
  • ZeHanz
a²+144=400, so a²=?
anonymous
  • anonymous
16?
ZeHanz
  • ZeHanz
a²=256, so a=16, right!
anonymous
  • anonymous
thank you!
ZeHanz
  • ZeHanz
yw!

Looking for something else?

Not the answer you are looking for? Search for more explanations.