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Honors Geometry Exam Review Chapter 7 flashcards Quizlet

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Honors Geometry Exam Review Chapter 7 flashcards Quizlet
1/20/2015

Honors Geometry Exam Review ­ Chapter 7 flashcards | Quizlet

Honors Geometry Exam Review - Chapter
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22 terms by shweta101

Pythagorean Theorem
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. (a^2
+ b^2 = c^2 (Page­ 433)
Pythagorean Triple

A set of 3 positive integers A, B, and C that satisfy the equation A^2 + B^2 = C^2
[Ex. (3,4,5) (5,12,13) (8, 15,17) and
(7,24,25)] (Page­ 435)

Converse of the Pythagorean Theorem

If the square of the length of the longest side of a triangle (hypotenuse) is equal to the sum of the squares of the lengths of the other two sides (legs), then the triangle is a right triangle, also the measure of angle C
(right across from the side length C) is
90°. (Page­ 441)

Theorem 7.3

If the square of the length of the longest side of a triangle (hypotenuse) is less then the sum of the squares of the the lengths of the other 2 sides (legs), the the triangle is an acute triangle, also the measure of angle
C (right across from the side length C) is less then 90°. (C squared > A squared + B squared) (Page­ 442)

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1/20/2015

Honors Geometry Exam Review ­ Chapter 7 flashcards | Quizlet

Theorem 7.4

If the square of the length of the longest side of a triangle (hypotenuse) is greater then the sum of the squares of the lengths of the other two sides (legs), then the triangle is an obtuse triangle, also the measure of angle C (right across from the side length C) is greater then 90°. (C squared > A squared + B squared) (Page­
442)

Theorem 7.5

If the altitude is drawn to the hypotenuse of a right triangle, then the 2 triangles formed are similar to the original triangle and to each other. (Page­ 449)

Geometric Mean (altitude) Theorem

In a right triangle, the altitude from the right angle to the hypotenuse divides the
hypotenuse

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