# Question Video: Evaluating Algebraic Expressions Involving Geometric Formulas Mathematics • 6th Grade

Determine the height of the given triangle, which can be found using the expression 30 ÷ 𝑏, given that 𝑏 is the base of the triangle.

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### Video Transcript

Determine the height of the given triangle, which can be found using the expression 30 divided by 𝑏, given that 𝑏 is the base of the triangle.

In this question, we are asked to find the height of a given triangle and we are given that the height of the triangle is given by 30 divided by 𝑏, where we are told that 𝑏 is the length of the base of the triangle. We can see in the given figure that the base is the side at the bottom of the right triangle and it has length five feet, so our value of 𝑏 is equal to five.

We are told that the height of the triangle is given by 30 divided by 𝑏. So we can find the height of the triangle by substituting 𝑏 equals five into the expression and evaluating. Substituting 𝑏 equals five into the equation gives us that the height of the triangle is 30 divided by five. We can then evaluate this division to obtain six. Since the lengths are given in feet, we can say that the height of the triangle is six feet.