The algorithm is tripping! It won't let me post a legit explanation. Sorry!
PLS HELP!!
2 answers:
Answer:
D) 4 miles
Step-by-step explanation:
Pythagoras' Theorem:
(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
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In the figure we have three right angles .The triangles similar to each other .Similar triangles have sides in proportion .The altitude rule is true for the triangles .
The theorem states :The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse.
Substituting the values from the triangles we ahve:
s is the right answer