Question

Apply the Pythagorean Theorem to find the distance between points A and C.

Answer 1

Hi!

distance from A to the base od C, straight line = 7 units

from the base of C to the point C, straght line = 5 units

`AC^(2) = 7^(2) + 5^(2) \\AC^(2) = 49 + 25\\AC^(2) = 74\\AC = √(74)\\AC = 8,6`

Hope this helps!

Answer 2

the horizontal distance ( x direction) from A to C is 7 units and

the vertical distance ( y direction) is 5 units

Applying Pythagoras' Theorem to the right triangle

AC² = 7² + 5² = 49 + 25 = 74, hence

AC =
`√(74)` = 8.6 units ( to 1 dec. place )