1 Trig. Day 3 Special Right Triangles. 2 45°-45°-90° Special Right Triangle 45° Hypotenuse X X X...
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Transcript of 1 Trig. Day 3 Special Right Triangles. 2 45°-45°-90° Special Right Triangle 45° Hypotenuse X X X...
1
Trig. Day 3
Special Right Triangles
2
45°-45°-90° Special Right Triangle
245°
45°
Hypotenuse
XX
X
Leg
Leg
Example:
45°
45°
5 cm
5 cm
5 cm
2
3
30°-60°-90° Special Right Triangle
30°
60°
Hypotenuse
3X
2X
X
Longer Leg
Shorter Leg
Example:
30°
60°
10 cm
5 cm
5 cm3
4
Example: Find the value of a and b.
60°7 cm
a
b
Step 1: Find the missing angle measure. 30°
30 °
Step 2: Decide which special right triangle applies. 30°-60°-90°
Step 3: Match the 30°-60°-90° pattern with the problem.
30°
60°
x
2x3x
a = cm
b = 14 cm
Step 5: Solve for a and b
7 3
Step 4: From the pattern, we know that x = 7 , b = 2x, and a = x .3
5
Example: Find the value of a and b.
2
45°7 cm
a
b
Step 1: Find the missing angle measure. 45°
45 °
Step 2: Decide which special right triangle applies. 45°-45°-90°
Step 3: Match the 45°-45°-90° pattern with the problem.
45°
45°
x
xx
Step 4: From the pattern, we know that x = 7 , a = x, and b = x .
a = 7 cm
b = 7 cm
Step 5: Solve for a and b
2
2
2