Question

ABCD is a parallelogram, AE is perpendicular to DC &CF is perpendicular to AD.If AB=8cm, CF=10cm, find AD.

Answer 1

Answer:

12 cm

Step-by-step explanation:

As ABCD is a parallelogram it's opposite sides are equal.

Therefore AB=CD=8cm

Now in Triangle DFC,

By using Pythagoras Theorem,

${cf}^{2} \: + {df}^{2} = {dc}^{2}$

Therefore,

1

${10}^{2} + {df}^{2} = {8}^{2}$

Therefore DF we get is 6cm.

A perpendicular bisector divides into two equal parts.

Therefore, AD = 2×6=12cm