The angles in a triangle are in the ratio 1:2:3 a) Show that the triangle is a right - angled triangle b) The hypotenuse of the triangle is 19cm long. Calculate the length of the shortest side in the triangle

8.5 cm

Step-by-step explanation:

Angles of the triangle:

x+2x+3x = 180 6x = 180 x = 30 30°, 60° and 90°

Right triangle as it has 90° angle

Sides are a, b and 19 cm

sin 30° = a/19 ⇒ a = 19 sin 30° = 19*0.5 = 8.5 cm = shortest side sin 60° = b/19 ⇒ b = 19 sin 60° = 19*0.866 = 16.45 cm