1. Warm Up April 1st
What is the hypotenuse if the leg lengths are a = 72 and b = 30?
Simplify 72

2. EOCT Week 12 #2

3. Homework Review

4. What have we learned so far?!
Right Triangles
What have we learned so far?!

5. What is the Pythagorean Theorem
A²+B²=C²

6. What are the Pythagorean Triples

7. Finding Missing Side length
A = 300 B=400 C=? C=500

8. Hint: Rationalize the denominator
Simplify
Hint: Rationalize the denominator

9. In a 45-45-90 triangle the ____________are the _______________
Legs are the same

10. Solve for x 45 x 3 3

11. What is the area of the hypotenuse?
=32
Area=12
Area=20

12. Solve for x and y x √7 y
Y=The same so √7
X= √7•√2=√14

13. Solve for x 45
3√2 x
X=3

14. Find all the side lengths
Legs: 7 and 4
Hypotenuse=√65
Area=49
Area=16

15. Solve for x 45 3 x
3=x√2

16. Special Right Triangles
You will be able to find the lengths of sides of special right triangles
And

17. Right Triangle x x

18. Right Triangle a 2a
30
60

19. Triangles
The longer leg is _____ times bigger than the shorter leg.
The hypotenuse is _____ times bigger than the shorter leg.
The longer leg is √3 times bigger
The hypotenuse is 2 times bigger than the shorter leg

20. Type 1: Given Hypotenuse find the legs

21. Just Watch
Find the values of x and y. Give your answers in simplest radical form.
22 = 2x
Hypotenuse = 2(shorter leg)
11 = x
Divide both sides by 2.
Substitute 11 for x.

22. #1 You Try!
60
30 x y 20
20=2x (hypotenuse is twice as big as shorter leg)
10=x
Y=x√3 (long leg is √3 times bigger than shorter leg)
Y=10√3

23. #2 You Try!
Find the values of x and y. Give your answers in simplest radical form.
Hypotenuse = 2(shorter leg)
Divide both sides by 2.
y = 27
Substitute for x.

24. Type 2: Given long leg find short leg and hypotenuse

25. Just Watch
Find the values of x and y. Give your answers in simplest radical form.
Rationalize the denominator.
y = 2x
Hypotenuse = 2(shorter leg).
Simplify.

26. #1 You Try!
60
30 x y
21=x√3 (long side is √3 larger than short side)
X= 21/√3……21√3/3……..7√3
Y=2x (hypotenuse is twice as big as short side)
Y=2(7√3)
Y=14√3

27. #2 You Try!
Find the values of x and y. Give your answers in simplest radical form.
Rationalize the denominator.
x = 2y
Hypotenuse = 2(shorter leg)
Simplify.

28. Type 3: Given short leg find long leg and hypotenuse

29. Just Watch
Find the values of x and y. Give your answers in simplest radical form.
y = 2(5)
y = 10
Simplify.

30. You Try!
60
30 x y 7
X=7√3 (Long leg is √3 times larger than short side)
Y=2(7) (Hypotenuse is twice as big as the short side)
Y=14

31. Special Triangles Summary
Find the values of the variables. Give your answers in simplest radical form.
x = 10; y = 20

32. Classwork/Homework
CW: Worksheet What you don’t finish is HW *Turn in when finished