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To find the shortest distance between two points in a right triangle, we use the Pythagorean Theorem c 2 = a 2 + b 2 . For legs measuring 3 miles and 4 miles, the hypotenuse is 5 miles, which is 2 miles shorter than taking the longer route along the legs. Therefore, the shortest route in this scenario is the hypotenuse of the triangle at 5 miles.
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Answered by jsimpson11000 | 2025-07-08

24.) This is a right triangle , so Pythagorean Theorem applies:
c^2 = a^2 + b^2 or
Hypotenuse^2 = leg1^2 + leg2^2
shortcut^2 = 3^2 + 4^2
shortcut ^2 = 9+16
shortcut^2 = 25
shortcut = 5 mi following the legs is 3 + 4 = 7 mi
** so the shortcut is 2 miles shorter ** ;

Answered by jsimpson11000 | 2025-07-08