A Pythagorean triple is 3, 4, 5 since 32 + 42 = 52. By using this as a ration (3 : 4 : 5), it can be quite useful:
To make a right angle for building purposes (just like the ancient Egyptians), getting three lengths in the ratio of 3 : 4 : 5 (say 30 cm, 40 cm and 50 cm) joining them to make a triangle will create a right angle where the sides with the ratio of 3 : 4 join.
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While doing your homework, or on mapping, or for distance.
Carpentry
In comparing the effect of focal lengths in digital cameras with different sized sensors.
Sometimes when turning a corner you have walk through 90 degrees or crossing a rectangular field you'd take the shortest distance across it which is its hypotenuse.
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