Question

ABCD is a trapezium.

AD is parallel to BC.
Angle A = angle B = 90.
AD = 2.1 m, AB = 1.9 m, CD= 3.2 m.
Work out the length of BC.
Give your answer correct to 3 significant figures.
1.9 m)

Answer 1

The length of BC is 4.674 m

Step-by-step explanation:

Given:

Angle A = angle B = 90°

AD = 2.1 m

AB = 1.9 m

CD= 3.2 m

An image is inserted for the reference

According to the figure,

a is the base

b is the height

c is the hypotenuse

Using pythagoras theorm:

a² + b² = c²

a² + (1.9)² = (3.2)²

a² + 3.61 = 10.24

a² = 6.63

a = 2.574

BC = 2.1 + 2.574

BC = 4.674m

Therefore, the length of BC is 4.674 m