Problem
GEO-B1-M06-P008 Area of Half a Triangle
#8
★★☆☆☆ Level 2 of 5
The area of triangle \(ABC\) is \(84\). Median \(AM\) is drawn to side \(BC\). Find \(S_{ABM}\).
A median halves the area of a triangle.
Median \(AM\) divides the triangle into two equal-area triangles. Therefore \(S_{ABM}=\frac{84}{2}=42\).
A short numerical exercise on a median.