Respuesta :

Answer:

37 units

Step-by-step explanation:

The two points form a right triangle so

a²+b²=c² so

(8-20)²(x values)+(40-5)²(y values)=c² (distance) so

12²+35²=c² so

144+1225=c²

1369=c²

c=37 units

The distance between two points will be 37 unit.

How to calculate the distance between two points?

Let (x₁,y₁) , (x₂,y₂) be the coordinate of the two points on the coordination plane. then the distance between two point can be calculated by using the Pythagoras formula as

d=√((x₂-x₁)²+(y₂-y₁)²)

So according to asked question,

x₁=8  ,   y₁=40

x₂=20  ,  y₂=5

Distance can be calculated by using the above formula,

d=√((x₂-x₁)²+(y₂-y₁)²)

=√((20-8)²+(5-40)²)

=√((12)²+(-35)²)

=√(144+1225)

=√1369

=37 unit

Therefore the distance between two points will be 37 unit.

Learn more about the distance between two point in coordination plane

here: https://brainly.com/question/1351299

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