The area of a trapezium is 340 cm². Its parallel sides are 25 cm and 9 cm respectively. Find the height of the trapezium.
20 cm
The area of a trapezium is given by \(\text{Area} = \frac{1}{2} \times (a+b) \times h\), where \(a\) and \(b\) are the parallel sides and \(h\) is the height.
Given \(\text{Area} = 340 \text{ cm}^2\), \(a = 25 \text{ cm}\), \(b = 9 \text{ cm}\).
\(340 = \frac{1}{2} \times (25+9) \times h = \frac{1}{2} \times 34 \times h = 17h\).
So, \(h = \frac{340}{17} = 20 \text{ cm}\).
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