Question

Using Pythagorean Theorem

calculate the diagonal
distance from point
(-2,12) to (2,2)

Answer 1

10.8 units or
`2√(29)` units

Explanation:

The line drawn connecting two points on a graph is known as a line segment.

The formula used to calculate the length of a line segment is derived from the Pythagorean Theorem

Length of a line segment:
`\sqrt{(x_(2) -x_(1))^(2) +(y_(2) -y_(1))^(2)}`

=
`\sqrt{[2-(-2)]^(2) + (2-12)^(2) }`

=
`\sqrt{(2+2)^(2) +(-10)^(2) }`

=
`\sqrt{4^(2) + 100}`

=
`√(16 +100)`

=
`√(116)`

=
`√(4)`×
`√(29)`

=
`2√(29)` units

Diagonal distance = 10.8 units (Rounded to 3 significant figures)