In triangle abc, side ab has a length of 8 cm and side bc has a length of 5 cm. if the triangle has an area of 10 square centimeters, what is the measure of the angle between sides ab and bc? 135° 150° 120° 45° 30° 60° you!

Recall the following formula:

Given a triangle with side lengths a, b, and c. Let the measure of the angle between sides of length a and c be B.

Then, the area of the triangle is given by :

                                 .

 In our example we have: Area=10 square cm, a=8 cm, c=5 cm, and we want to find the measure of the angle between the 2 sides a and c.

Substituting in the formula we have:



Thus, , which means .

is the sine of , but also .

both 30, and 150 degrees are possible