Question

if the area of a trapezium is 25 Sq.cm. and length of the parallel sides are 8cm and 12cm respectively what is the distance between the parallel sides? ​

Answer 1

Answer:

5/2

Step-by-step explanation:

Let the parallel sides be a and b

We need to find h

$Area \: of \: trapezium = \frac{1}{2} h(a + b) \\ = \frac{1}{2} h(8 + 12) = 25 \\ = \frac{1}{2}h \times 20 = 25 \\ \frac{1}{2} h = \frac{25}{20} = \frac{5}{4}$

$\frac{1}{2} h = \frac{5}{4} \\ h = \frac{5}{4} \times 2 = \frac{5}{2}$

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