Question

Every weekday, Mr. Jones bikes from his home to his job. Sometimes he rides along two roads, the long route that is shown by the solid lines. Other times, he takes the shortcut shown by the dashed line.

A right triangle. The distance from the angle with measure 90 degrees to Job is 15 kilometers. From the angle to Home is a. They hypotenuse is 17 kilometers.


How many fewer kilometers does Mr. Jones bike when he takes the shortcut instead of the long route?

6 kilometers

8 kilometers

23 kilometers

32 kilometers

Mark this and return

Answer 1

a

Explanation:

on edge

Answer 2

(A)6 kilometers

Explanation:

First, we determine the value of a using Pythagoras Theorem.

`Hypotenuse^2=Opposite^2+Adjacent^2\\17^2=a^2+15^2\\a^2=17^2-15^2\\a^2=289-225\\a^2=64\\a^2=8^2\\a=8$ km`

Therefore:

Distance along the long route = 8 + 15 =23 km

Distance along the shortcut =17 km

Difference =23-17 =6km

Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.