Question

In a parallelogram ABCD, mAB=10cm. The altitude corresponding to sides
AB and AD are 7 cm and 8 cm. Find AD.
en
10cn
Page 3 of 4
College (B
Arty
Subject: Mathematics

Answer 1

Answer:

AD = 8.75 cm

Step-by-step explanation:

Area of parallelogram:

Parallelogram is a four-sided polygon. Its opposite sides are parallel and equal.

$\boxed{\bf Area \ of \ the \ parallelgram = b*h}$

b is the base and h is the altitude between the two parallel sides.

b = AB = 10 cm

h = 7 cm

Area of parallelogram = 10 * 7

                                     = 70 cm²

When AD is the base, its corresponding height is 8 cm.

b = AD and its corresponding height = 8 cm

Area of parallelogram = 70 cm²

                 AD * h = 70

                 AD * 8 = 70

                        AD = 70 ÷8

                        $\boxed{\sf AD = 8.75 \ cm}$