# 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's embrace,

Inscribed circle's gentle touch,

Triangle's secrets.

Calculate, unveil the realm,

Contact triangle's beauty held.

## 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

### Problem 1545

### Problem 1544

### Problem 1543

### Problem 1542

### 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: