Question

find the length of the diagonal of a rectangle of length 16 metre and width 12 metre​

Answer 1

Step-by-step explanation:

Using Pythagoras Theorem,

(Hypotenuse)^2=(Base)^2 + (Perpendicular)^2

We know,

The diagonal of a rectangle divides it into 2 congruent triangles.

So in one of the triangles,

Base=length=16m

Perpendicular=width=12m

Hypotenuse=Diagonal

Let diagonal's length be d metres

So,

Applying Pythagoras Theorem,

(Diagonal)^2=(Length)^2 + (Breadth)^2

or, d^2=16^2+12^2

or, d^2=256+144

or, d^2=400

or, d=√400

or, d=20

so length of diagonal is 20 metres....... ANSWER