Suppose that a problem asks you to find the height of a triangle, and that the problem leads to a quadratic equation. If $\mathrm{h}$ represents the height of the triangle, which of the following solutions to the equation cannot be an answer to the problem?
A) $h=\frac{3}{2}$
B) $h=\frac{3}{4}$
C) $\mathrm{h}=3+\sqrt{3}$
D) $\mathrm{h}=3-\sqrt{3}$

Question

Quizplus · Accepted Answer

The height of a triangle cannot be negative. Since $\sqrt{3}$ is approximately 1.732, subtracting it from 3 in option D would result in a positive value, making all options potentially valid heights. However, the question implies one of the solutions is not possible, which suggests a misunderstanding in the interpretation. Given the context, all provided solutions are positive and could represent the height of a triangle. My initial interpretation was incorrect; all given solutions are indeed positive, and none of them should be outright dismissed based on the information provided.

Suppose That a Problem Asks You to Find the Height h\mathrm{h}h

Suppose That a Problem Asks You to Find the Height $\mathrm{h}$