Question

Elm Street intersects Cherry Street and Peach Street at their midpoints. Your home is at point P. You leave your

home and jog down Peach Street to Oak Street, over Oak Street to Cherry Street, up Cherry Street to Elm Street,
over Elm Street to Peach Street, and then back home up Peach Street. Do you jog more than 7 miles?

Answer 1

No, he did not jog more than 7 miles , the distance jogged is 6.705 miles.

What are similar triangles?

Similar triangles have equal corresponding angles and proportional sides, maintaining the same shape but possibly different sizes.

From similar triangles theorem

Elm St/Oak St = half Peach/ Peach

Elm/1.4 = 1.125/2.5

2.5 * Elm = 1.4 * 1.125

ELM ST = 1.575/2.5

Elm St = 0.63 mi

Distance jogged

Peach + Oak + half cherry + Elm + half Peach

= 2.25 + 1.4 + 1.3 + 0.63 + 1.125

= 6.705 miles

No, he did not jog more than 7 miles , the distance jogged is 6.705 miles.