7.4 ­ Similarity in Right Triangles.notebook
7.4: Similarity in Right Triangles
February 12, 2016
Date: 2/12
Theorem 7­3: “The altitude to the hypotenuse
of a right triangle divides the triangle into two
triangles that are similar to the original
triangle and to each other.”
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7.4 ­ Similarity in Right Triangles.notebook
February 12, 2016
Ex 1). What similarity statement can you write relating the three
triangles in the diagram?
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7.4 ­ Similarity in Right Triangles.notebook
February 12, 2016
For any two positive numbers a and b, the geometric mean of a and b
is the positive number x such that:
Ex 2). What is the geometric mean of 5 and 12?
Ex 3). What is the geometric mean of 25 and 4?
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7.4 ­ Similarity in Right Triangles.notebook
February 12, 2016
Corollary 1 to Theorem 7­3:
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7.4 ­ Similarity in Right Triangles.notebook
February 12, 2016
Corollary 2 to Theorem 7­3:
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7.4 ­ Similarity in Right Triangles.notebook
February 12, 2016
Ex 4). What are the values of x and y?
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7.4 ­ Similarity in Right Triangles.notebook
February 12, 2016
Ex 5). What is the value of x?
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7.4 ­ Similarity in Right Triangles.notebook
February 12, 2016
Ex 6). What is the width of the kite?
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7.4 ­ Similarity in Right Triangles.notebook
February 12, 2016
Homework:
pg. 490 #1 – 6, 10, 12 – 18, 19, 32
Chapter 7 Test next Friday
MathXL: Chapter 7 Practice due next Friday
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