Question

What is the distance from C to D?

A. 5 units
B. 1 unit
C. 25 units
D. 7 units

Answer 1

Option A

Explanation:

According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,

`PQ = \sqrt{(x^(2) - x^(1) )^(2) + (y^(2) - y^(1))^(2) }`

NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.

According to the question ,

Coordinate of C = (2 , -1)

Coordinate of D = (5 , 3)

Using distance formula ,

`CD = \sqrt{(5-2)^(2) + (3 -(-1))^(2) }`

`=> CD = \sqrt{3^(2) + 4^(2) } = √(9 + 16) = √(25) = 5`