volume_mute
Triangle
publish date: 2024/07/13 23:06:0.342171 UTC
The formula for the area of a triangle is \(A = \frac12 bh\). Find the area of a triangle whose base is \(12\frac12\) meters long and whose height is \(15\frac13\) meters.
Correct Answer
$95\frac{83}{100}$
Explanation
- Base b = \(12\frac12\) meters.
- Height h = \(15\frac13\) meters
First, convert the mixed numbers into improper fractions:
b = \(12\frac12 = \frac{25}{2}\) meters
h = \(15\frac13 = \frac{46}{3}\) meters
Now, substitute these values into the formula for the area:
A = \(\frac12 \cdot \frac{25}{2} \cdot \frac{46}{3}\)
Calculate step by step:
A =\(\frac12 \cdot \frac{25 \cdot 46}{2 \cdot 3}\)
A = \(\frac12 \cdot \frac{1150}{6}\)
A = \(\frac{1150}{12} = 95\frac{83}{100}\)
Reference
go-math-science.com