Fnd AB Ab AC >*=36 3,145 4.11 Pythagorean Theorem s a inches 3/15 AB 9incher Ernd BC S Bp _BC Theorem 62 BC BA The square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs.* 4. BC 355i こ640 Given: Right AABC, with AB the hypotenuse Prove: (AB)² = (AC)² + (BC)² Analysis: 1. By Theorem 61 III, to what is (AC)² equal? (BC)?? 2. Show that (AC)² + (BC)² = AB × AB = (AB)². %3D %3D Proof. Develop in class. Corollary 62-1 The difference of the square of the hypotenuse and the square of one leg equals the square of the other leg. 4 A Pythagorean triplet is a group of three positive non-zero integers that satisfy the Pythagorean theorem, such as 3, 4, 5, and 12, 35, 37. A< 5 3-4-5 Triangle ant 5. If AC : BC = 3 : 4 and AB = 50 in., find AC %3D %3D and BC.
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
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Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
Theorem 62 refers to the numerical measures of the sides. Express answers as radicals and fractions if applicable.
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