鄭濤提出的問題

圖：如圖 1 ，黃色、藍色和紅色三角形在一個點 P 相交 。穿過 P 的三條線平行于三角形 ABC 的邊（AB, AC, BC）。

命題：假設黃色三角形、藍色三角形和紅色三角形的面積分別為4、9、49。問：三角形ABC的面積是多少？

Problem created by Tao Steven Zheng

Diagram: Consider triangle ABC in Figure 1. There are three triangles coloured yellow, blue, and red that meet at one point P. The lines through P are parallel to the sides of triangle ABC.

Problem: Given that the area of the yellow triangle, blue triangle, and red triangle are 4, 9, and 49 respectively, determine the area of triangle ABC.