in triangle side abc side ab has a length of 6cm and side bc has a length of 10cm what is the length of side ac

Answer 1

If this is a right triangle, where bc is hypotenuse, then

bc^2 = ab^2 + ac^2

10^2 = 6^2 + ac^2

ac^2 = 64

ac = 8

There is a short cut also, such triangles are also called 3-4-5 triangles, where 5 is the hypotenuse. Since we are given 10 and 6 (2*5 and 2*3), then the missing side is 8 (2*4).