Question 447170
The lengths of the sides of a right triangle follow the equation {{{a^2 + b^2 = c^2}}}, where a and b are the length of the legs/sides and c is the length of the hypotenuse.
Plug the stated lengths of the sides into the equation as the values of a and b, then solve for c.
==> {{{a^2 + b^2 = c^2}}}
==> {{{(8)^2 + (15)^2 = c^2}}}
==> {{{64 + 225 = c^2}}}
==> {{{289 = c^2}}}
==> Square root both sides: {{{sqrt(289) = sqrt(c^2)}}}
==> Simplify: {{{17 = c}}}
***Therefore, the length of the hypotenuse is C. 17 cm
~By the way, thank you for writing your question so clearly and neatly! It is much easier for us that way!