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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