Question
Determine whether the triple of numbers can be the sides of a right triangle. Please explain.
6, 8, 10
Squareroot of 2, Squareroot of 3, Squareroot of 10
6, 8, 10
Squareroot of 2, Squareroot of 3, Squareroot of 10
Answers
Reiny
If it is a right-angled triangle, then clearly the largest number would have to be the hypotenuse.
so test if 6^2 + 8^2 = 10^2 ?
Yes it is, so the 3 sides form a right-angled triangle.
is (√2)^2 + (√3)^2 = (√10)^2 ?
What do you think?
What is your conclusion?
so test if 6^2 + 8^2 = 10^2 ?
Yes it is, so the 3 sides form a right-angled triangle.
is (√2)^2 + (√3)^2 = (√10)^2 ?
What do you think?
What is your conclusion?