Geometry Problem 1546: Discover the Hidden Geometry: Calculate Area of Contact Triangle DEF in Triangle ABC

In triangle ABC, with side lengths AB = 7, BC = 8, and AC = 9, an inscribed circle is tangent to the sides AB, BC, and AC at points D, E, and F, respectively. Your task is to calculate the area of the contact triangle DEF.

Geometry Problem 1546: Discover the Hidden Geometry: Calculate Area of Contact Triangle DEF in Triangle ABC

Geometry's embrace,
Inscribed circle's gentle touch,
Triangle's secrets.
Calculate, unveil the realm,
Contact triangle's beauty held.

Find and share solutions

Lines and Shadows: Exploring Problem 1546 with Machu Picchu as the Backdrop


Lines and Shadows: Exploring Problem 1546 with Machu Picchu as the Backdrop

Machu Picchu's grace,
Contact triangle's embrace,
Area revealed.


Discover Even More: See Also...

Problem 1547

Geometry Problem 1547: Discover the Hidden Geometry: Calculate Area of Contact Triangle DEF in Triangle ABC

Problem 1545

Geometry Problem 1545: Calculate the Area of Triangle ABC with Inscribed Circle and Excenters

Problem 1544

Geometry Problem 1543: Calculating the Area of Quadrilateral ABED in a Square with a Side Length of 20 and an Intersecting Arc

Problem 1543

Geometry Problem 1543: Calculating the Area of Quadrilateral ABED in a Square with a Side Length of 20 and an Intersecting Arc

Problem 1542

Geometry Problem 1542: Unraveling a Geometric Puzzle with a Circumscribed Right Triangle and Square to the Same Circle

Read more, explore further

Geometry Problems
Open Problems
Visual Index
All Problems
Triangle
Circle
Incircle
Circle Tangent Line
Area
Triangle Area
View or Post a solution 

Search our site with Google: