The sets of numbers 3, 4, 5 and 8, 15, 17 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples! (5 points) Your answer:
Answers
Answer:
Step-by-step explanation:
Pythagorean theorem : a^2 + b^2 = c^2
using 3,4,5
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25 (correct)
using 8,15,17
8^2 + 15^2 = 17^2
64 + 225 = 289
289 = 289 (correct)
they are Pythagorean triplets because they satisfy the Pythagorean theorem
Answer + Step-by-step explanation:
We plug in this values (from least to greatest) into the Pythagorean Theorem (a² + b² = c²) to get
3² + 4² = 5²
Simplifying this we get
9 + 16 = 25
This is true so this proves that 3, 4, 5 is a Pythagorean Triple!
We can plug in the values of 8, 15, 17 into the Pythagorean Theorem giving us
8² + 15² = 17²
Simplifying this we get
64 + 225 = 289
This is true so this proves that 8, 15, 17 is a Pythagorean Triple!
I hope this helped!!
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