Question

Find the distance between the points(2, 4) and (5, 8) using distance formula

Answer 1

Step-by-step explanation:

• √(X2- X1)² +(y2-y1)²
• √(5-2)² +( 8-4)²
• √(3)²+(4)²
• √9+16
• √25
• 5

Ans.The distance between the points is 5.

Answer 2

The distance between points (2, 4) and (5, 8) is 5 units.

Given:

two points: (2, 4) and (5, 8)

To Find:

we need to find the distance between the two points given

Solution:

according to the distance formula, the distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as-

distance = √{(x₂ - x₁)² + (y₂ - y₁)²}

thus, the distance between (2, 4) and (5, 8) will be given as-

√{(5 - 2)² + (8 - 4)²}

= √(3² + 4²)

= √(9 + 16)

= √25

= 5

Thus, the distance between points (2, 4) and (5, 8) comes out to be 5 units.

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