Answered

Makakuha ng mga sagot sa iyong mga tanong mula sa komunidad ng IDNStudy.com. Ang aming komunidad ay narito upang magbigay ng detalyadong sagot sa lahat ng iyong mga katanungan.

In the figure, circle O is inscribed in equilateral triangle ABC and X , Y and Z are the points of tangency. If the side of triangle ABC is 12, how long is the radius of circle O. 

full solutions please and thank you :)

In The Figure Circle O Is Inscribed In Equilateral Triangle ABC And X Y And Z Are The Points Of Tangency If The Side Of Triangle ABC Is 12 How Long Is The Radiu class=

Sagot :

VilesXidn
Given:
side = 12

see figure:

a right triangle is formed.

where the hypotenuse is. h - r
and the other sides are r and 12/2

[tex]h= \sqrt{6^2+12^2} [/tex]

h=10.39

to get the radius we use the Pythagorean theorem.

[tex]10.39-r= \sqrt{(r)^2+(6)^2} [/tex]

[tex]r=3.46[/tex]
View image VilesX
AnneCidn
r = 2 √3

See attached for solution. :)
Btw, I used trig functions, because it is the easiest way to solve it. Haha. I hope you're familiar with that.


<XBO is 1/2 of <XBA. That is why it's 30º
View image AnneC
Natutuwa kami na ikaw ay bahagi ng aming komunidad. Patuloy na magtanong at magbahagi ng iyong mga ideya. Sama-sama tayong lumikha ng isang mas matibay na samahan. Salamat sa pagpili sa IDNStudy.com. Umaasa kami na makita ka ulit para sa mas maraming solusyon.