1. Bodie drew a triangle. The base of his triangle is \( \frac{1}{2} \) the height of the triangle Let \( h= \) height. Let \( b= \) base.

Bodie can express the base in terms of the height with the equation \( b = \frac{1}{2}h \). This relationship means that the triangle's base is always half the height, leading to interesting properties about its area. The area of a triangle can be calculated using the formula \( A = \frac{1}{2} b h \). By substituting the base expression into this formula, he could find how the area relates directly to height alone! Triangles with this proportional relationship often pop up in architecture and design, especially in creating structures like roofs. When thinking about calculating materials, knowing one measurement allows you to derive others—like how a height of 10 units automatically gives a base of 5 units, making planning easier and more efficient!