Chapter Seven:  
Area

Geometry   Notes

Chapter  7

Section  7.1
Section  7.2
Section  7.3
Section  7.4
Section  7.5
Section  7.6
Section  7.7
Section  7.8


Geometry Contents

Take notes on the following topics.

Section 7-2  The Pythagorean Theorem and Its Converse

Pythagorean triple (p. 357) A Pythagorean triple is a set of three nonzero whole numbers a, b, and c, that satisfy the equation a2 + b2 = c2.

Theorem 7-4 ( Pythagorean Theorem)

In a right triangle, the square of the length of the hypotenuse c is equal to the sum of the squares of the length of the legs a and b.

Theorem 7-5 ( Converse of the Pythagorean Theorem)

If c is the measure of the longest side of a triangle, a and b are the lengths of the other two sides, and c2 = a2+ b2, then the triangle is a right triangle.

Theorem 7-6

If c is the measure of the longest side of a triangle, a and b are the lengths of the other two sides, and c2 > a2+ b2, then the triangle is an obtuse triangle.

Theorem 7-7

If c is the measure of the longest side of a triangle, a and b are the lengths of the other two sides, and c2 < a2 + b2, then the triangle is an acute triangle.