Question

The angles of a triangle are in the ratio 11 : 5 : 2. The side opposite the largest angle is 5.5 centimeters. The length of the side opposite the smallest angle of the triangle is centimeters.

Answer 1

the anser is 2

Explanation:

Answer 2

2.0 cm

Explanation:

The sum of ratio units is 11 +5 +2 = 18, so each one stands for 10° of angle. Then the largest angle is 110°, and the smallest is 20°. The law of sines can help us find the smallest side (x):

x/sin(20°) = 5.5/sin(110°)

x = 5.5·sin(20°)/sin(110°) ≈ 2.00

The side opposite the smallest angle is 2.0 cm.