Unit 3 - Day 2

Day 2

Daily Objective:

Sine, Cosine, and Tangent functions using similar triangles.

These functions are used to find the sides of a triangle. However today we are going to use them with similar triangles. a similar triangle is a triangle that is the same shape but is not the same size. You can use these triangles to find sides on another triangle if you know two sides on one triangle and one side on the other.

(Angle A is equal to angle E, angle B is equal to angle G, and angle C is equal to angle F.)

Figure 4

Quiz

1. See Figure 4.

2. Using Figure 5 determine the length of side x.

Figure 5

3. Using Figure 6 determine the length of side x.

Answers 

Figure 6

1. First you must set up the equation like 5/5 x x/10. You then have to cross multiply the 5 and 10 and the 5 and x. This will leave you with 5x/50. you then divide the entire problem by 5

2. First you set up the problem like this- 6/10 x 12/x. You then  cross multiply the 10 and 12 and the x and 6. This will leave you with 120/6x. You then divide both numbers by 6 and that leaves you with an answer of 20.

3. Set up the problem like 4/8 x 7/x. Then cross multiply the 8 and 7 and the 4 and x and you'll end up with 56/4x. Then divide that entire problem by 4 and you'll end up with a final answer of 14.