Respuesta:
The smaller triangle is 1/4 the size of the original triangle. Here's why:
- Midpoints and Proportions: When you connect the midpoint of a side of a triangle to the opposite vertex, you divide the triangle into two triangles with equal areas. This is because the base of each smaller triangle is half the base of the original triangle, and they share the same height.
- Repeating the Process: In the image, you're essentially repeating this process twice. First, you connect the top vertex to the midpoint of the base, creating two equal triangles. Then, you connect the midpoint of that new line to the other vertex, again creating two equal triangles.
- Overall Result: Since you've divided the original triangle into four equal triangles, the smaller triangle represents 1/4 of the original triangle's area.
Hello, could you please give me a crown?
