Question

On number 8 I’m a bit confused and please explain it to me so I can grasp it I listen all the way through

Answer 1

(8). From the question, Jenny rode 8km, changed direction and rode another 15km and then turned, by changing direction and rode 17km before checking her map.

Could her path be a right angle?

For her path to be a right angle, then the square of the longest path (17km) must be equal to the sum of the squares of the other two paths (8km and 15km). That is, according to Pythagorean theorem.

Let's check

`\begin{gathered} 17^2=289 \\ 8^2+15^2=64+225=289 \end{gathered}`

So, since we got 289 as the sum of 8 square and 15 square,

Hence her path is a right-angle. YES

The right-angle is shown below

Following the arrow indicating the direction she moved, we can see that Jenny will be back at her starting point.

Could Jenny be back at her starting point?

The answer is YES