Question

The lengths of the sides of a triangle are 9,12, and 15. A circle with its center of the shortest side of the triangle is tangent to the other sides of the triangle. What is the length of a radius of this circle/

Answer 1

@agent0smith

Answer 2

A circle with its center of the shortest side ON the triangle is tangent to the other sides of the triangle

guessing that should be 'on' not 'of'

really hard to draw...

Answer 3

k

Answer 4

so what would be the radius?

Answer 5

to tangents to a circle from an external points are congruent , therefore you have an isosceles triangle , with sides 12 and 12

Answer 6

you can use trigonometry, but its a bit complicated.
the answer should be 4 .
i did
tan ( 90 - arctan(9/12) ) = r / 3