Question
area of triangle is 7.5 with a height of 2.5 what is the length of the base
Answers
GPT-4o mini
To find the length of the base of a triangle when you know the area and the height, you can use the formula for the area of a triangle:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case, you are given the area (7.5) and the height (2.5). Let's denote the base as \( b \). Plugging in the values, we have:
\[
7.5 = \frac{1}{2} \times b \times 2.5
\]
Now, simplify the equation:
\[
7.5 = 1.25b
\]
To find \( b \), divide both sides by 1.25:
\[
b = \frac{7.5}{1.25}
\]
Calculating this gives:
\[
b = 6
\]
Thus, the length of the base is **6 units**.
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case, you are given the area (7.5) and the height (2.5). Let's denote the base as \( b \). Plugging in the values, we have:
\[
7.5 = \frac{1}{2} \times b \times 2.5
\]
Now, simplify the equation:
\[
7.5 = 1.25b
\]
To find \( b \), divide both sides by 1.25:
\[
b = \frac{7.5}{1.25}
\]
Calculating this gives:
\[
b = 6
\]
Thus, the length of the base is **6 units**.