CW#04
February 08, 2017
Quiz #3
The real estate term lake frontage refers to the linear measure of a property that touches a lake. Find the lake frontage of each property. x
y
z
• note that the four lines are parallel...us theorem 6.6
• Set up and solve a proportion...you may need to find the total
yardage along Lakeshore Drive.
• Cross multiply and divide or use properties of proportions
• do your answers seem reasonable?
x = 50.9
y = 58.4
z = 64.7
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CW#04
February 08, 2017
Day / Date
Wednesday, February 8
Due Now
A#3: p. 400: #3 – 11, 13 – 17
Warm­Up
Finish Quiz #3
Classwork Due: EOP Quiz 6.4 ­ 6.6; CW#4: 7.1, p. 433
Homework Due: 2/10 A#4: p. 436: #3 – 29 odd Use the Pythagorean Theorem to Find Side LearningTarget
Lengths in Right Triangles, Simplify Radicals
News and Notes
7.1 ­ 7.4 Quiz 2/22
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no phones
no talking
stick to your own test
can't share calc's
good luck
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Geometry Questions 7.1
1. What are the legs and the hypotenuse of a right triangle? What is the Pythagorean Theorem?
c
a
The sum of the squares of
the legs is equal to the
square of the hypotenuse.
a +b =c
2
b
2
2
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2. How do we use the Pythagorean Theorem to find the hypotenuse of a right triangle?
1.
Substitute the lengths of the sides for
a and b
2. Evaluate...square first, then add!
3. Take the square root of both sides and
2
2
simplify!
Example. 2
a +b =c
4
x
8
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February 08, 2017
Practice. Find the hypotenuse.
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3. How do you use the Pythagorean Theorem to find the leg of a triangle?
1. Substitute the hypotenuse and one leg
2. Solve for a2 or b2...square then subtract
3. Take the square root and simplify!
Example. Find the leg.
a2 + b2 = c2
14
8
x
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February 08, 2017
Practice. Find the leg of the right triangle.
4
8
x
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4. How do we use the Pythagorean Theorem to help us find the area of isosceles triangles?
1. Draw and label a sketch
2. Use the PT to find the height or base
3. Substitute into
]
Example. Find the area.
a2 + b2 = c2
}
base
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February 08, 2017
Practice. Find the area.
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5. What are Pythagorean Triples? Why are they helpful?
Special all-integer combinations of a, b, and c.
If we can recognize the pattern, we can skip
the PT and use proportions!
Example. Find the missing length.
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February 08, 2017
Practice. Find the missing lengths.
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A#4: p. 436: #3 – 29 odd
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February 08, 2017
Quiz #4
1. What are two ways to find a missing side length in a right triangle?
2. Find the missing length.
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Attachments
GraphPaper20x20AxesUnits.bmp