Question

In a right angle triangle ABC right angled at B, if AB = 5 cm, AC = 13 cm, then BC is

• A. 6 cm
• B. 10 cm
• C. 12 cm
• D. 15 cm

Answer 1

The correct option is C 12 cm

According to Pythagoras theorem

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

$B{C}^2$= ${13}^2$ - $5^2$

= 169 - 25 = 144

$⟹$ BC = 12 cm