Question

what is the area of the base, b, of the prism?
b=square mm^{2}

Explanation:

Step1: Recall the formula for the area of a triangle

The base of the prism is a right - angled triangle. The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\).

Step2: Identify the base and height of the triangle

Here, the base of the triangle \(b = 30\space mm\) and the height of the triangle \(h=10\space mm\).

Step3: Calculate the area of the base

Substitute the values into the formula: \(B=\frac{1}{2}\times30\times10\).

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Answer:

\(150\)