Question

PLS HELP!!

Anthony was mapping out a route to ride his bike. The route he picked forms a right triangle, as shown in the picture



If the route takes him 5 miles on the Forrest Lane and 12 miles up pine avenue, how many miles will Anthony save by riding straight down Cedar Drive?
A) 8 miles
B) 2 miles
C) 3 miles
D) 4 miles

Answer 1

Miles that anthony will save = ( 12+5) - 13

=4 miles

Answer 2

D) 4 miles

Explanation:

Pythagoras' Theorem:
`a^2+b^2=c^2`

(where a and b are the legs and c is the hypotenuse of a right triangle)

Given:

• a = Forrest Lane = 5 miles
• b = Pine Avenue = 12 miles

⇒ 5² + 12² = c²

⇒ 169 = c²

⇒ c = √169 = 13

⇒ Cedar Drive = 13 miles

Number of miles saved = (12 + 5) - 13 = 4 miles