## If you have a right triangle with shorter side lengths a = 3 and b = 4; what will the hypotenuse, c, equal

Question

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## Answers ( )

Answer:c = 5

Step-by-step explanation:The Pythagorean theorem tells you …

c² = a² +b²

c² = 3² +4² = 9 +16

c = √25 = 5

The hypotenuse, c, will be 5._____

This “3-4-5” right triangle is the smallest set of integers that satisfies the Pythagorean theorem. The numbers form an arithmetic sequence. Any right triangle in which the sides are an arithmetic sequence will have the sides in this ratio — 3:4:5. It is a useful “Pythagorean triple” to remember.