Question

what is the missing length?
area = 30 in²
a = inches

Explanation:

Step1: Recall the area formula for a triangle

The area formula for a triangle is \( A=\frac{1}{2}\times base\times height\). Here, \(A = 30\) in², base \(b = 6\) in, and height \(h=a\).

Step2: Substitute the values into the formula and solve for \(a\)

Substitute into \(A=\frac{1}{2}\times b\times a\). So, \(30=\frac{1}{2}\times6\times a\). First, simplify \(\frac{1}{2}\times6 = 3\). Then the equation becomes \(30 = 3\times a\). Divide both sides by 3: \(a=\frac{30}{3}\).

Answer:

\(10\)