Question

Find the height of a trapezium in which parallel sides are 25 cm 77 cm and non-parallel sides and 26 cm and 60 cm. Given the area of the trapezium as 1644 sq.cm.

Answer 1

Dear student,
$$\begin{gathered} Areaoftrapezium=\frac{1}{2}\times \left(sumof\parallel sides\right)\times height \\ \Rightarrow 1644=\frac{1}{2}\times \left(25+77\right)\times height \\ \Rightarrow 1644=\frac{1}{2}\times 102\times height \\ \Rightarrow 1644=51\times height \\ \Rightarrow height=\frac{1644}{51} \\ \Rightarrow height=32.23cm \end{gathered}$$
Regards