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.

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
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Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Theorem 62 refers to the numerical measures of the sides. Express answers as radicals and fractions if applicable.

 

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
Transcribed Image Text: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.
Transcribed Image Text:5. If AC : BC = 3 : 4 and AB = 50 in., find AC %3D %3D and BC.
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