Question

what is the missing length?
area = 57.195 cm²
12.3 cm
y = centimeters
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work it out
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Explanation:

Step1: Recall the area formula of a triangle

The area formula of a triangle is \( A=\frac{1}{2}\times base\times height\). Here, \(A = 57.195\space cm^{2}\), base \(b=12.3\space cm\), and height \(h = y\).

Step2: Rearrange the formula to solve for \(y\)

From \(A=\frac{1}{2}\times b\times y\), we can get \(y=\frac{2A}{b}\).
Substitute \(A = 57.195\) and \(b = 12.3\) into the formula: \(y=\frac{2\times57.195}{12.3}\).
First, calculate \(2\times57.195=114.39\).
Then, \(y=\frac{114.39}{12.3}=9.3\).

Answer:

\(9.3\)