How do you divide a triangle into ⅙

Question

ScanSolve AI Tutor · Accepted Answer

To divide a triangle into 6 equal parts (specifically for shading $\frac{1}{6}$ of its area), you can use the following method:

Choose one side of the triangle to be the base.
Divide this base into 6 equal segments.
You can do this by measuring the length of the base and marking points at $\frac{1}{6}$ , $\frac{2}{6}$ , $\frac{3}{6}$ , $\frac{4}{6}$ , and $\frac{5}{6}$ of its length from one end.
From each of these 5 division points on the base, draw a straight line to the opposite vertex of the triangle.
This will divide the original triangle into 6 smaller triangles. All these smaller triangles will have the same height (the perpendicular distance from the opposite vertex to the chosen base) and equal base lengths (each being $\frac{1}{6}$ of the original base). Therefore, they will all have equal areas.

To shade $\frac{1}{6}$ of the triangle, you would then shade one of these 6 smaller triangles.

Step-by-step solution