Question

this is a blueprint drawing of the stage area at Millennium Park the length of one square on the grid is equal to 5 feet according to the blueprint the length of the diagonal of square C is 60ft is that correct explain​ Thanks

Answer 1

It is not correct.

Step-by-step explanation:

From the picture we can see that the length of the sides of square C is 50 ft.

A right triangle is formed, where the diagonal of square C is the hypotenuse (c) and two sides of the square C are the other sides of the right triangle (a and b). From Pythagorean theorem:

c² = a² + b²

c² = 50² + 50²

c = √5000

c = 70.71 m

*this is correct but i did not solve this i got it from someone else*

Answer 2

No, diagonal of square C is 70.71ft

Explanation:

Given in the question that length of one square = 5 ft

Length of Square C = 10 small squares

1 square = 5 ft

10 square = 5ft * 10

= 50 ft

As we know that in a square all side are of equal length and make an angle of 90° at each corner.

So, by using pythagorus theorem

Diagonal of square² = side² + side²

Diagonal of square² = 2side²

Diagonal of square = √(2side²)

Diagonal of square = √2 (side)

where side = 50 ft

Diagonal of square = √2 (50)

Diagonal of square = 70.71 ft