Honors Geometry Exam Review Chapter 7 flashcards | Quizlet
Honors Geometry Exam Review - Chapter
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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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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