Question

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

Answer 1

The horizontal distance from Emma's house to tree house is 7 units and the vertical distance is 3 units.

Draw the horizontal and vertical lines to form a right triangle.

Label the vertices as A, B and C.

By Pythagorean theorem,
`AC^(2) =AB^(2)+ BC^(2)`

=
`3^(2) +7^(2)`

= 9 + 49

= 58

So,
`AC = √(58)`

Hence, distance from Emma's house to tree house is
`√(58)` units.