6.2 Special Right Triangles

Learning target: I can use the relationships among the sides in special right triangles.

know 2 sides... ___________________

610

x

New know 1 side & "special" angles... Special Right ∆s "shortcuts"

x

y

x

y

In right ∆s, how to solve for sides given certain information

Review

* in notes*Do as w-up

In a 45˚-45˚-90˚

45˚-45˚-90˚ TRIANGLE THEOREM

hypotenuse = leg • _____ leg = _____

Find the values of x and y in the 45˚-45˚-90˚ ∆

x

y

81. 2.

x = _____

y = _____

leg = leg

x = _____

y = _____

Find the values of x and y in the 45˚-45˚-90˚ ∆3. 4.

x = _____

y = _____

leg = leg

x = _____

y = _____

_________ leg - opposite the 30˚ angle

_________ leg - opposite the 60˚ angle

30˚-60˚-90˚ TRIANGLE THEOREM

In a 30˚-60˚-90˚

hypotenuse = ____ • shorter leg

longer leg = shorter leg • _____

Find the values of x and y in the 30˚-60˚-90˚ ∆5. 6.

x = _____

y = _____

x = _____

y = _____

Find the values of x and y in the 30˚-60˚-90˚ ∆

7. 8.

x = _____

y = _____

x = _____

y = _____

leg = leg

HW: 6.2 Day 1 worksheet

Geo 6.2 Day 1 WS Answers

1. leg 2. short leg

leg short leg

3. x = 6 4. x = 7 5. x =

y = 6 2 y = 7 y =

6. x = 10 7. x = 8 8. x = 6

y = 5 3 y = 8 3 y = 12

9. x = 3 6 10. x = 2 6

y = 3 12 ** y = 18 **

11. x = 20 12. x = 6

13. B

8 28 2