1. UNIT QUESTION: What patterns can I find in right triangles?
Math II
UNIT QUESTION: What patterns can I find in right triangles?
Standard: MM2G1, MM2G2
Today’s Question:
How do I find the length of a side of a right triangle with only one side and an angle given?
Standard: MM2G1.a

2. 5.1 Special Right Triangles
Learning Task – Part 1

3. 5.1 Special Right Triangles
You will be able to find the lengths of sides of special right triangles
And

5. Special Right Triangles
Short Leg:Long Leg:Hypotenuse

6. We will use a reference triangle to set up a proportion then solve.
Right Triangle 60 2 1 30
This is our reference triangle for the triangle.
We will use a reference triangle to set up a proportion then solve.

7. Right Triangle
60 2x x
30

8. Ex: 1 Solve for x and y. 60 8 2a a x 30 y
a√3

9. Solve for x and y
Ex: 2 y
a√3 30 x a 2a 24 60

10. Ex: 3 Solve for x and y. 30 2a 14 y
a√3 60 a x
y = 7√3
x = 7

11. Ex: Solve for x and y a x
a√3 60 30 y 2a
y = 10
x = 5

12. Perimeter = 27.71 inches a = 4.168 in., so 2a = 9.238 in. 2a a√3 a
Extension Problem
The altitude of an equilateral triangle is 8 inches. Find the perimeter of the triangle.
30° 2a
a√3 8
60° a
a = in., so 2a = in.
Perimeter = inches

13. Homework
Page 155 #1-7 (odd), 14, 17-21