Answer:
When we have 3 numbers, like:
a, b and c.
Such that:
a < b < c.
These numbers are a Pythagorean triplet if the sum of the squares of the two smaller numbers, is equal to the square of the larger number:
a^2 + b^2 = c^2
This is equivalent to the Pythagorean Theorem, where the sum of the squares of the cathetus is equal to the hypotenuse squared.
Now that we know this, we can check if the given sets are Pythagorean triples.
1) 3, 4, 5
Here we must have that:
3^2 + 4^2 = 5^2
solving the left side we get:
3^2 + 4^2 = 9 + 16 = 25
and the right side:
5^2 = 25
Then we have the same in both sides, this means that these are Pythagorean triples.
2) 8, 15, 17
We must have that:
8^2 + 15^2 = 17^2
Solving the left side we have:
8^2 + 15^2 = 64 + 225 = 289
And in the right side we have:
17^2 = 17*17 = 289
So again, we have the same result in both sides, which means that these numbers are Pythagorean triples
Answer:
55° and 125°
Step-by-step explanation:
Formulate an equation x + (x+70) = 180
Combine like terms to get 2x + 70 = 180
Subtract 70 on both sides to get 2x = 110.
Divide both sides by 2 to get x = 55.
Add 70 to 55 to get 125.
Check your answer by adding 55 + 125. It equals 180, so the angles are equal to 55 and 125.
Step-by-step explanation:
x-(-11)
= x+11
= 14+11
= 25
A^2+b^2=c^2 that is a formula
