SOLUTION: Please help me solve this question! Here are the directions: Find the radius of the circle inscribed in the triangle. (its an isosceles triangle and the longer sides have a m

Question 192085This question is from textbook Geometry
: Please help me solve this question!
Here are the directions:
Find the radius of the circle inscribed in the triangle.
(its an isosceles triangle and the longer sides have a measurement of 12 and the last smallest side has a measurement of 8)
Now, I know the answer is 2 sqrt ( 2 )
but i need to know what are the steps to getting the answer? please help!! This question is from textbook Geometry

Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

Finding for "Radius" inscribed in a triangle:
Working Eqn:
Radius = = , * See properties of Triangle

But solving for "k":
We know an Isosceles Triangle has 2 equal sides, , and the other side, :

Subst. in our Working Eqn:

, Answer

Thank you,
Jojo

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