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

Question

i need help with the important imformatiin on how to solve the answer tp a hypotnuses

Answer 1

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, i.e. the hypotenuse is 10.

Please note that a so-called 3-4-5 right triangle is the smallest right triangle which has integer sides...and of course, a 6-8-10 triangle like this one is simply a magnification of the smaller, i.e. a so-called similar triangle.

For your edification, can you find the next bigger right triangle with integer sides?