warm-up
DESCRIPTION
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. Math II. UNIT QUESTION: What patterns can I find in right triangles? Standard: MM2G1, MM2G2 Today’s Question: - PowerPoint PPT PresentationTRANSCRIPT
A
A person is standing at point A cheering on his favorite team. Round to nearest tenth.
a) Find the height AB.
B
D
C
90 feet.
60 feet
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
Learning Task – Part 2
You will be able to find the lengths of sides of special right triangles
30-60-90
And
45-45-90
904545 2:1:1
Leg:Leg:Hypotenuse2:: xxx
In a 45-45-90 triangle…
We will use a reference triangle to set up a proportion then solve.
45-45-90 Right Triangle
1
1This is our reference triangle for the 45-45-90.
2
45
45
45-45-90 Right Triangle
x
x
2x
45
45
3
3
x
EX: 1 Solve for x
3 2x
a√2a
a
5
5
x
5 2x
EX: 2 Solve for x
a√2a
a
x
345
EX: 3 Solve for x
x 3 2
2
a√2a
a
Extension Problem
The diagonal of a square is 12 inches. Find the area. Round to the nearest tenth.
Area = 72 in.2
12 in.
Page 153 #1-9, 23-24