Question

Two sides of a parallelogram are 20 cm and 25 cm. If the altitude corresponding to the sides of length 25 cm is 10 cm. Find the altitude corresponding to the other pair of sides.

Answer 1

We are given, that two sides of a parallelogram are 20 cm and 25 cm

Now,

Area of parallelogram = height (or Altitude) $\times$ base

here, Base QR is having altitude PT & Base SR is having altitude QU.

So, $QR\times PT=SR\times QU$

$25\times 10=20\times QU$

Now, $QU=x$ so,

$x=\frac{25\times 10}{20}=12.5cm$

So, the altitude corresponding to the other pair of sides is $12.5cm$