Given 2 sides, find the 3rd side
CONCEPTS
Pythagorean Theorem
• a² + b² = c² (a, b, & c are side lengths of a right triangle)
• This can only be used on right triangles!
PRACTICE PROBLEMS
Question 1 In the figure below, what is the length of the 3rd side? What is the distance from b to the midpoint of AC?
-- Answer -- √ (45)
3 + √ (45) / 2
Question 2 The figure shows the location of 3 people’s homes. Mark goes from his home to Lakecia's home and takes Harbor Rd then Lott Rd. Lakecia takes grapevine road. How much shorter is Lakecia's trip?
-- Answer -- 4
Grapevine = 13, Harbor + Lott = 17, Dif = 4
Question 3 Given cos θ = 15/39, what is the length of the 2nd leg
TIP: first draw out the relationship on a triangle
-- Answer -- 36
ACT PRACTICE PROBLEMS
