A right-angled triangle has a base of 5 cm, a height of 12 cm. Find the length of the hypotenuse.

Draw the triangle.Let the base = a, height = b and hypotenuse = ca = 5, b = 12, c = ?Using Pythagoras theorem, a² + b² = c²so, 5² + 12² = c²25 + 144 = c²169 = c²c = sqrt (169)c = 13So the hypotenuse is 13 cm.