Question

question 3 find the area of the triangles whose base and height are given.
question 4 complete the following. (all lengths are in cm; areas are in cm².)

Explanation:

Step1: Recall the formula for the area of a triangle

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

Step2: Calculate the area for each case

• For \(a\): Given \(base = 16\), \(height=4\). Then \(A=\frac{1}{2}\times16\times4=32\).
• For \(b\): Given \(base = 9\), \(height\) is found from \(A = 36\). Using \(A=\frac{1}{2}\times base\times height\), we have \(36=\frac{1}{2}\times9\times h\), so \(h = 8\).
• For \(c\): Given \(base = 14\), \(height = 6\). Then \(A=\frac{1}{2}\times14\times6=42\).
• For \(d\): Given \(base = 18\), \(height = 6\). Then \(A=\frac{1}{2}\times18\times6 = 54\).
• For \(e\): Given \(base = 20\), \(height = 10\). Then \(A=\frac{1}{2}\times20\times10=100\).
• For \(f\): Given \(base = 7\), \(height = 6\). Then \(A=\frac{1}{2}\times7\times6=21\).

Answer:

	\(a\)	\(b\)	\(c\)	\(d\)	\(e\)	\(f\)