ABC is a triangle, right-angled at C. If AB = 25
cm and AC = 7 cm, find BC.

Draw a right-angled triangle ABC at C.

By Pythagoras property,

$A{B}^2 = A{C}^2 + B{C}^2$

${25}^2 = 7^2 + B{C}^2$

$625 = 49 + B{C}^2$

$B{C}^2 = 625 – 49$

$B{C}^2 = 576$

$BC = \sqrt{576}$

$BC = 24 cm$

So, the length of the BC = 24 cm