Question

The parrellal sides of a trapezium are 9cm and 7cm. And it's area is 80cm2. Find it's altitude

Answer 1

Answer:

10cm will be the answer

Answer 2

Answer:

10 cm.

Step-by-step explanation:

$\underline{\bigstar\:\textsf{Given:}}$

• Parallel sides of a trapezium = 9 cm and 7 cm
• Area = 80 cm²

$\underline{\bigstar\:\textsf{To\:find:}}$

• Altitude (h) = ?

$\underline{\bigstar\:\textsf{Solution:}}$

We know, $\blue{\sf{area\:of\:trapezium\:=\:\dfrac{1}{2}\:\times\:(sum\:of\:parallel\:sides)\:\times\:height}}$

$\implies\:\sf{80\:=\:\dfrac{1}{2}\:\times\:(9\:+\:7)\:\times\:h}$

$\:$

$\implies\:\sf{80\:\times\:2\:=\:16\:\times\:h}$

$\:$

$\implies\:\sf{\dfrac{80\:\times\:\cancel{2}}{\cancel{16}}\:=\:h}$

$\:$

$\implies\:\sf{\cancel{\dfrac{80}{8}}\:=\:h}$

$\:$

$\implies\sf{\underline{\underline{\therefore\:Altitude\:=\:10\:cm.}}}$