Question

The lengths of the legs of a right triangle are 6 inches and 8 inches. What is the length of the hypotenuse?

Answer 1

6^2 + 8^2 = hypotnuse^2
36+64 =100
sqrt of 100 = 10

Answer 2

Hypotenuse is the greatest side of all in a right triangle..

So, you have given two sides, use pythagoras theorem here:

\[\large Hypotenuse^2 = a^2 + b^2\]

Here a and b are the other sides:

\[H^2 = 6^2 + 8^2 \implies H^2 = 36 + 64 \implies H^2 = 100\]

Take square root now:

\[\large \color{green}{H = 10}\]

Answer 3

it would be 10.