HOW TO FIND THE DIAGONAL OF A SQUARE

A square is a four-sided polygon which has it's all sides equal in length and the measure of the angles are 90 degrees.

The diagonal will divide the square into two right triangles.

Find the length of the diagonal of each square. Round your answer to the nearest tenth.

Problem 1 :

Side length = 2 yd

Diagonal = _______

Solution :

Length of the Diagonal = √2 ∙ a

= 1.414 × 2

Diagonal = 2.8 yd

Problem 2 :

Side length = 53 ft

Diagonal = _______

Solution :

Length of the Diagonal = √2 ∙ a

= 1.414 × 53

Diagonal = 75 ft

Problem 3 :

Side length = 17.3 in

Diagonal = _______

Solution :

Length of the Diagonal = √2 ∙ a

= 1.414 × 17.3

Diagonal = 24.5 in

Problem 4 :

Side length = 95 yd

Diagonal = _______

Solution :

Length of the Diagonal = √2 ∙ a

= 1.414 × 95

Diagonal = 134.4 yd

Find the length of the diagonal of each square. Round your answer to the nearest tenth.

Problem 5 :

Solution :

Side length = 48.7 ft

Length of the Diagonal = √2 ∙ a

= 1.414 × 48.7

Diagonal = 68.9 ft

Problem 6 :

Solution :

Given, side length = 32 in

Length of the Diagonal = √2 ∙ a

= 1.414 × 32

Diagonal = 45.3 in

Problem 7:

Solution :

Side length = 70 yd

Length of the Diagonal = √2 ∙ a

= 1.414 × 70

Diagonal = 99 yd

Problem 8 :

Solution :

Side length = 88.5 ft

Length of the Diagonal = √2 ∙ a

= 1.414 × 88.5

Diagonal = 125.2 ft

Problem 9 :

The side length of a square is 22 yards. What is the length of the diagonal?

Solution :

Side length = 22 yards

Length of the Diagonal = √2 ∙ a

= 1.414 × 22

Diagonal = 31.1 yards