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

You require the Pythagorean Theorem: in a right triangle, the sum of the squares of the legs equals the square of the hypotenuse. In this case 6^2 + 8^2 = 36 + 64 = 100 = 10^2

the hypotenuse is 10.

You can find the missing side of a right triangle by using the Pythagorean Theorem (a² + b² = c²), where c is the hypotenuse. So, just plug the given numbers in and solve for c.

a² + b² = c² Plug 6 and 8 in for a and b (order doesn't matter)

6² + 8² = c² Square both numbers

36 + 64 = c² Add

100 = c² Take the square root of both sides

10 = c Switch the sides of the equation to make it easier to read

c = 10

So, the hypotenuse of the triangle is 10 cm.