Question

Find the length of the side BC of the given
trapezium ABCD
А
10 cm
9 cm
D
3 cm
C.
B В​

Answer 1

Answer:

The length of the side BC is 8cm

Given

ABCD is a trapezium where :

AB = 9cm

AD = 10cm

CD = 3cm

To Find

The side BC

Construction

DE ⏊ AB is drawn so that BCDE become a rectangle.

Solution

We have from construction ,

BCDE is a rectangle ,

∴ BC = DE and CD = BE

Now , from figure

∆AED is right angled triangle since DE ⏊ AB,

From Pythagorean triplet we get ,

Rest answer in attachment 2nd one.

Therefore BC is 8cm.

Hope it helps u...... ☺️☺️✌️✌️