Question

The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail.

Which of the following statements are true about the lengths of the trails? Check all that apply.

1.The total length of the Dogwood Trail is 16 kilometers.
2.The total length of the Dogwood Trail is 24 kilometers.
3.The Elm Trail is longer than the Dogwood Trail.
4.The difference between the lengths of the trails is 2 kilometers.
5.The difference between the lengths of the trails is 6 kilometers.

Answer 1

2 and 5

Explanation:

Answer 2

Lets find the missing sides first
big triangle, we apply the Pythagorean theorem a^2+b^2=c^2
a^=13^2-5^=169-25=144, Square root of a=square root of 144=12
a=12

smaller triangle
5^2-3^2=b^2
25-16=9
b=4
Elm trail is 13km+5km=18km
Dogwood trail=12+5+4+3=24km

correct choices are 2 and 5