Question

You are going to a friend's house to watch a movie. If you drive on Street C, the distance is 3 miles. You need to stop at the movie store on Street A. The store is 1 mile from your house. What is the distance you will drive on Street B from the movie store to your friend's house? (right triangle)

Answer 1

2.83 miles

Explanation:

got it right on ttm

Answer 2

`√(10)` miles

Explanation:

In the figure, let P be yours house and Q be your's friend's house. Let R be the movie store.

Note that the distance from your house and to your house on Street C is 3 miles.

The distance from your house and to the move store on Street A is 1 mile.

Now, the distance from the move store to your friend's house is the hypotenuse of the right triangle ΔPQR.

The distance from the move store to your friend's house is RQ.

In the right triangle ΔPQR,

`RQ^(2) =PQ^(2) +PR^(2)`

=
`3^(2) +1^(2)`

= 10

`RQ=√(10)`

Hence, the distance from the move store to your friend's house is
`√(10)` miles.