1. find the missing side length. round your answer to the nearest tenth.

6.7 21.3 5.5 43.2

2. find the length of side a. round to the nearest tenth.

12 378.4 18.3 19.5

3. find the length of side ba. round to the nearest hundredth.

0.42 0.65 0.83 1.25

QUESTION 1

We can use the cosine rule to find the missing side length.

Recall that the cosine rule for a triangle with sides a,b,c and an included angle A is

Let the missing side length in the triangle with sides 6, 9 and the included angle of be units.

We then substitute the values into the cosine rule to obtain;

units to the nearest tenth.

QUESTION 2

We again use the cosine rule:

We substitute the given values to obtain;

to the nearest tenth

QUESTION 3

We again use the cosine rule :

to the nearest hundredth

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.