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

Question

Mathematics

Brooklynn Patton

10 March, 11:27

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

+4

Answers (2)

Know the Answer?

Samuel Hanna · Answer 1

A

Step-by-step explanation:

just took test

Zayne Reilly · Answer 2

Mr. Jones take 6 km less when he goes by shortcut instead of the long route.

Step-by-step explanation:

We shall use the pythagoras theorem here to solve.

a^2 + 15^2 = 17^2

a^2+225=289

a^2=64

a=8

Since a = 8, the long route distance is 8+15=23

The short route distance is 17 km

So, (23-17) = 6 km ... So Mr. Jones take 6 km less when he goes by shortcut instead of the long route.