1. Warm-up D A
60 feet C B
90 feet.
A person is standing at point A cheering on his favorite team. Round to nearest tenth.
Find the height AB.

2. 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 we solve 45°-45°-90° right triangles?
Standard: MM2G1.b

3. 5.1 Special Right Triangles
Learning Task – Part 2

4. 5.1 Special Right Triangles
You will be able to find the lengths of sides of special right triangles
And

6. Special Right Triangles
Leg:Leg:Hypotenuse

7. LEGS ARE THE SAME LENGTH
In a triangle…
LEGS ARE THE SAME LENGTH
We will use a reference triangle to set up a proportion then solve.

8. This is our reference triangle for the 45-45-90.
Right Triangle 1 1
This is our reference triangle for the

9. Right Triangle x x

10. EX: 1 Solve for x x
a√2 a 3 a 3

11. EX: 2 Solve for x x
a√2 a 5 a 5

12. EX: 3 Solve for x 45 3
a√2 a a x

13. Area = 72 in.2 Extension Problem
The diagonal of a square is 12 inches. Find the area. Round to the nearest tenth.
12 in.
Area = 72 in.2

14. Homework
Page 153 #1-9, 23-24