# Right-angled triangle

- Author:
- Maurice OReilly

- Topic:
- Area, Inequalities, Perimeter, Right Triangles, Square

## Right triangle with given area, A, and perimeter, p

The area of the

**triangle**is equal to that of the**square**. This can be adjusted by moving the**red point**. The perimeter of the triangle is the distance between the**blue**and**orange**points (comprising**black**,**blue**and**pink**segments). This can be adjusted by moving the**orange point**. The perimeter of the triangle must be at least the radius of the quadrant shown. Explore ... explain ... enjoy!Adapted from Pyrgic puzzle by Chris Maslanka, *The Guardian*, 14 December 2019