Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
4. Proofs with Perpendicular Lines
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Exercise 26 Page 526

The shortest distance across the river forms a perpendicular segment with the river.

C

Practice makes perfect
Given that you want to jump as short a distance as possible, we should jump to the point that forms a perpendicular segment with the sides of the stream. If we eyeball it, it would seem that AC makes a 90^(∘) angle with the river. Thus, we should jump to point C.