Elise Walks Diagonally From One Corner Of A Square Plaza To Another. Each Side Of The Plaza Is 50 Meters. What Is The Diagonal Distance Across The Pla

Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters. What is the diagonal distance across the plaza?

 

Answer:

50√2 cm

Step-by-step explanation:

Method 1: We know that the side of the plaza is 50 meters. Since, it is a square then we can use the pythagorean theorem.

So, a² + b² = c²

Since and a and b are the legs which are 50 meters, we are solving for c the hypotenuse or in this case, the diagonal.

(50)² + (50)² = c²

2500 + 2500 = c²

5000 = c²

c = √5000

c = √100 x 25 x 2

c = 50√2 cm

Method 2: Using a formula for solving the diagonal of a square without the pythagorean theorem is:

Diagonal of a Square = s√2

where s = side length

Given, s = 50 therefore it is simply 50√2 cm.

Hope this helps!

~~DeanGD20