Question

Use the Pythagorean Theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle.
Check all that apply.

3, 4, 5
4, 11, 14
9, 14, 17
8, 14, 16
8, 15, 17

Answer 1

a^2 +b^2 = c^2, where c is the hypotenuse or longest side

plug in the numbers and see if they fit in the equation

Answer 2

For such sums find the square of all the three numbers and then see if the sum of the squares of the smaller two numbers is equal to the square of the largest number or not.

If it is, then they form a Pythagorean triplet otherwise not

Take the first case
3^2 = 9
4^2 = 16
5^2 = 25

We find 9 + 16 = 25
i.e. 3^2 + 4^2 = 5^2 so they form a Pythagorean triplet and hence can be the legs and hypotenuse of a right angles triangle

Answer 3

You can follow the same procedure for other sets of numbers

Answer 4

thank you got the answer