Question

Use the Pythagorean theorem to find the distance from Emma’s house to the pool.

Answer 1

Pythagorean theorem:
`a^(2) +b^(2) =c^(2)`

When rewritten for coordinates plane:

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

where d is distance and (x,y) are the points.

Write down the coordinates of Emma's house and The Pool.

It is (-5,-3) and (2,2).

Substitute the numbers.

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

Calculate.

`d=\sqrt{(5)^(2)+(7)^(2)}`

You should get
`√(74)` as your answer.