Pre-algebra
which set represents a pythagorean triple?
a. 60,70,100
b. 18,24,30
c. 10,14,17
d. 10,20,30
This all does not help
To determine which set represents a Pythagorean triple, we need to check if the numbers in the set satisfy the Pythagorean theorem. According to the theorem, in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's check each set:
a. 60, 70, 100
To apply the Pythagorean theorem, we need to determine the squares of these numbers:
60^2 = 3600
70^2 = 4900
100^2 = 10000
Now, we check if the equation holds true:
3600 + 4900 = 8500
The equation doesn't hold true, so this set is not a Pythagorean triple.
b. 18, 24, 30
Let's find the squares of these numbers:
18^2 = 324
24^2 = 576
30^2 = 900
Now, let's check the equation:
324 + 576 = 900
The equation holds true, so this set is a Pythagorean triple.
c. 10, 14, 17
Squares of these numbers:
10^2 = 100
14^2 = 196
17^2 = 289
Checking the equation:
100 + 196 = 296
The equation doesn't hold true, so this set is not a Pythagorean triple.
d. 10, 20, 30
Squares of these numbers:
10^2 = 100
20^2 = 400
30^2 = 900
Checking the equation:
100 + 400 = 500
The equation doesn't hold true, so this set is not a Pythagorean triple.
Therefore, the set that represents a Pythagorean triple is b. 18, 24, 30.
3*6 , 4*6 , 5*6 :)
test each one:
I will do the 3rd,
is 10^2 + 14^2 = 17^2 ?
100 + 196 = 289
296 = 289, obviously not, so it is NOT a Pythagorean triple
repeat for the others
psst, there is only one