High school (grades 9–10) · TypeLab 2D
Right Triangle with Leg Squares
Right Triangle with Leg Squares: a composite plane figure made of a triangle with base 4.8 cm and height 3.6 cm, joined with a square with side 4.8 cm, joined with a square with side 3.6 cm. It is a classic high school (grades 9–10) geometry problem (“Euclid & Polygons”). The net area is 44.64 cm² and the total perimeter is 31.2 cm.
Certified measurements (1:1 scale)
- Net area
- 44.64 cm²
- Total perimeter
- 31.2 cm
- Bounding box
- 8.4 × 8.4 cm
- Basic shapes
- 3
Step-by-step decomposition
- 1.Basetriangle with base 4.8 cm and height 3.6 cm8.64 cm²
- 2.+square with side 4.8 cm23.04 cm²
- 3.+square with side 3.6 cm12.96 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = ½·a·b + a² + b² = ½·ab + c²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 8.64 + 23.04 + 12.96 = 44.64 cm².
Editable in PowerPoint & Office
The .PPTX file contains native DrawingML shapes: outlines, dimensions and labels stay separate objects you can recolor and edit in PowerPoint, Keynote and Google Slides. The .SVG file is pure vector art at 1:1 scale on an A4 sheet, ready for print, LaTeX and textbook layout.
