Question

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

Answer 1

Answer:

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