Question

Adjacent sides of a rectangle are 4cm and 3cm.The length of the diagonal is?​

Answer 1

Answer:

Here let us consider ABCD is a rectangle given in the figure.

AD = 3 cm (Breadth)

DC = 4 cm (Length)

To Find:

AC (Diagonal)

We know that Triangle ADC is a right triangle, right angled at D. So by using Pythagorus Theorem

Length^2 + Breadth^2 = Hypotenuse^2 (diagonal)

DC^2 + AD^2 = AC^2

=> 4^2 + 3^2 = AC^2

=> 16 + 9 = AC^2

=> 25 = AC^2

=> AC = √25 = 5

Therefore the length of the diagonal AC is 5 cm.

Answer 2

Answer:

5 cm

Step-by-step explanation:

2 adjacent sides and the diagonal of a rectangle make a right angled triangle

By Pythagoras theorem,

4² + 3²= x²

x²=16+9

x²=25

x=5