SOLUTION: find the radius of the circle inscribed in a triangle with lengths of 12, 12 and 8

Question 596742: find the radius of the circle inscribed in a triangle with lengths of 12, 12 and 8
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The center, O, of the inscribed circle is at the intersection of the angle bisectors AD and CO, which is at the same distance from the sides of the triangle.
DO = EO is the radius of the circle.
We can use the given measures of the triangle sides and a little trigonometry to find radius DO
and

Angles DCO and ECO are congruent and their measure is half the measure of angle BCA.
Using the trigonometric identity for half angles

we can calculate and from there we can find radius DO.

-->
RELATED QUESTIONS
Find the radius of an inscribed circle in a triangle with legs 12, 12,... (answered by venugopalramana)

If a circle is inscribed in a triangle with sides 12, 12, and 8, what is the radius of... (answered by Mathtut)

Determine the area of an equilateral triangle inscribed in a circle of radius 12... (answered by Greenfinch)

Find the area of the isosceles triangle that can be inscribed in a circle with radius of... (answered by ikleyn)

Three sides of a triangle measure 12 in, 15 in and 18 in. Find the area of the triangle,... (answered by rothauserc)

The diagnolas of a rhombus are 12 and 24. Find the radius of the circle inscribed in the... (answered by fractalier)

A circle is inscribed into a right triangle. The point of tangency divides the hypotenuse (answered by greenestamps)

What are the keysteps to prove the following geometry problem? FIND THE RADIUS OF THE... (answered by ichudov,rfadrogane)

An equilateral triangle with a perimeter of 24 square root (3) is inscribed in circle .... (answered by ewatrrr)