a triangle with side lengths of 6,8 and 10 units id a right triangle? why?

Answer 1

Because 10² = 6² + 8²

Answer 2

A right angle triangle has sides that satisfy the equation
x^2 + y^2 = h^2 where x and y are the two shorter sides, and h the longer side (or hypotenuse).

so the short sides are 6 and8; the long side 10
6^2 + 8^2 = 36 + 64 = 100 = 10^2

So this is a right angle triangle.

Answer 3

Because a^2 +b^2=c^2
6^2 + 8^2 =10^2
36+64=100
100=100

The Pythagorean theorem proves a right triangle.
A and B are the sides and C is the hypotenuse.

Answer 4

Any of those different than 36 and 12 If the 0.33 area replaced into 12 you have a line phase no longer a triangle 36 is impossible for a triangle. you could have any length greater effective than 0 and below 12

Answer 5

Because 10^2 = 8^2 +6^2
100 = 100
It is the converse of the Pythagorean Theorem proved around
300 BC, or earlier.

Answer 6

Because

6^2 + 8^2 = 10^2

This is only possible with a right triangle.

Answer 7

6^2 + 8^2 = 100 = 10^2

Pythagorean Theorum

Answer 8

This is whats called a pythagreon triple and triangle with side of multiplies of (3,4,5) will be a right triangle.
6,8,10
12,16,20
300,400,500

would all be right triangles

Answer 9

Uh -- try squaring the three sides. Does the sum of the squares of two of the sides equal the square of the other? Check with the Greek Mathematician, Pythagoras, and see what he thinks this might mean.