Question

Find the distance between the points. Give an exact answer and an approximation to three decimal places.

TI
(S.
(3.1, 0.3) and (2.7, -4.9)
Th
(Rd

Answer 1

5.215 units (rounded up to three decimal places)

Explanation:

To find the distance between points (3.1 , 0.3) and (2.7, -4.9)

We use the Pythagoras Theorem which states that for a right triangle of sides a,b and c then;

a² + b² = c² , Where c is the hypotenuse.

In our case, the distance between the two points is the hypotenuse of triangle formed by change in y-axis and change in x-axis.

The distance (hypotenuse) squared = (-4.9 - 0.3)² + (2.7 - 3.1)² = 27.04 + 0.16 = 27.2

Hypotenuse (the distance between) =
`√(27.2)` = 5.215 units (rounded up to three decimal places)