Circle gets cozy in triangle

Geometry Level 3

In ABC\triangle{\text{ABC}}, AD\text{AD}, BD\text{BD} and CD\text{CD} are the bisectors of BAC\angle{\text{BAC}}, ABC\angle{\text{ABC}} and ACB\angle{\text{ACB}} respectively.
If AFDE\text{AFDE} is a rectangle such that AD=10 cm\text{AD} = \text{10 cm} and AE=8 cm\text{AE} = \text{8 cm}, find the area of the circle inscribed in ABC\triangle{\text{ABC}}.

Round your answer( in cm2{\text{cm}}^{2}) to the nearest integer.

×

Problem Loading...

Note Loading...

Set Loading...