Final answer:
The question asks for expressions relating the base and height of a triangle, where the height is three more than seven times the base. The height formula is h = 7b + 3, and this can be used with the base (b) to calculate the area of the triangle.
Step-by-step explanation:
The student's question concerns the height and base of a triangle where the height is three more than seven times its base. To express this relationship mathematically, let's denote the base of the triangle as b. According to the given description, the height (h) of the triangle can be represented as h = 7b + 3.
If one needs to calculate, for example, the area of this triangle with a given base, the formula to use is the standard area formula for a triangle: Area = 1/2 × base × height. Substituting the expression for the height in terms of the base, we get Area = 1/2 × b × (7b + 3), which can be used to find the area once the base is known.