High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Chapter 10.6, Problem 55MR
To determine

Find whether the lengths 15,36 and 39 are side lengths of a right triangle.

Expert Solution & Answer
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Answer to Problem 55MR

The given lengths 15,36 and 39 are lengths of a right triangle.

Explanation of Solution

Given information: The given lengths are 15,36 and 39 .

Formula used: The three lengths of triangle are side lengths of a right triangle if the sum of square of two smaller sides is equal to square of third side which is largest. Mathematically they satisfy the Pythagoras Theorem,

  (Hypotenuse)2=(Base)2+(Altitude)2 ....(1)

Calculation: Since the given three sides are 15,36 and 39 . Therefore from (1),

  (39)2=(15)2+(36)21521=225+12961521=1521 (True)

Hence the given lengths 15,36 and 39 are lengths of a right triangle.

Chapter 10 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 10.1 - Prob. 8PPECh. 10.1 - Prob. 9PPECh. 10.1 - Prob. 10PPECh. 10.1 - Prob. 11PPECh. 10.1 - Prob. 12PPECh. 10.1 - Prob. 13PPECh. 10.1 - Prob. 14PPECh. 10.1 - Prob. 15PPECh. 10.1 - Prob. 16PPECh. 10.1 - Prob. 17PPECh. 10.1 - Prob. 18PPECh. 10.1 - Prob. 19PPECh. 10.1 - Prob. 20PPECh. 10.1 - Prob. 21PPECh. 10.1 - Prob. 22PPECh. 10.1 - Prob. 23PPECh. 10.1 - Prob. 24PPECh. 10.1 - Prob. 25PPECh. 10.1 - Prob. 26PPECh. 10.1 - Prob. 27PPECh. 10.1 - Prob. 28PPECh. 10.1 - Prob. 29PPECh. 10.1 - Prob. 30PPECh. 10.1 - Prob. 31PPECh. 10.1 - Prob. 32PPECh. 10.1 - Prob. 33PPECh. 10.1 - Prob. 34PPECh. 10.1 - Prob. 35PPECh. 10.1 - Prob. 36PPECh. 10.1 - Prob. 37PPECh. 10.1 - Prob. 38PPECh. 10.1 - Prob. 39PPECh. 10.1 - Prob. 40PPECh. 10.1 - Prob. 41PPECh. 10.1 - Prob. 42PPECh. 10.1 - Prob. 1MPCh. 10.2 - Prob. 1PCh. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Prob. 5PCh. 10.2 - Prob. 6PCh. 10.2 - Prob. 1LCCh. 10.2 - Prob. 2LCCh. 10.2 - Prob. 3LCCh. 10.2 - Prob. 4LCCh. 10.2 - Prob. 5LCCh. 10.2 - Prob. 6LCCh. 10.2 - Prob. 7LCCh. 10.2 - Prob. 8LCCh. 10.2 - Prob. 9LCCh. 10.2 - Prob. 10PPECh. 10.2 - Prob. 11PPECh. 10.2 - Prob. 12PPECh. 10.2 - Prob. 13PPECh. 10.2 - Prob. 14PPECh. 10.2 - Prob. 15PPECh. 10.2 - Prob. 16PPECh. 10.2 - Prob. 17PPECh. 10.2 - Prob. 18PPECh. 10.2 - Prob. 19PPECh. 10.2 - Prob. 20PPECh. 10.2 - Prob. 21PPECh. 10.2 - Prob. 22PPECh. 10.2 - Prob. 23PPECh. 10.2 - Prob. 24PPECh. 10.2 - Prob. 25PPECh. 10.2 - Prob. 26PPECh. 10.2 - Prob. 27PPECh. 10.2 - Prob. 28PPECh. 10.2 - Prob. 29PPECh. 10.2 - Prob. 30PPECh. 10.2 - Prob. 31PPECh. 10.2 - Prob. 32PPECh. 10.2 - Prob. 33PPECh. 10.2 - Prob. 34PPECh. 10.2 - Prob. 35PPECh. 10.2 - Prob. 36PPECh. 10.2 - Prob. 37PPECh. 10.2 - Prob. 38PPECh. 10.2 - Prob. 39PPECh. 10.2 - Prob. 40PPECh. 10.2 - Prob. 41PPECh. 10.2 - Prob. 42PPECh. 10.2 - Prob. 43PPECh. 10.2 - Prob. 44PPECh. 10.2 - Prob. 45PPECh. 10.2 - Prob. 46PPECh. 10.2 - Prob. 47PPECh. 10.2 - Prob. 48PPECh. 10.2 - Prob. 49PPECh. 10.2 - Prob. 50PPECh. 10.2 - Prob. 51PPECh. 10.2 - 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Prob. 61PPECh. 10.3 - Prob. 62PPECh. 10.3 - Prob. 63PPECh. 10.3 - Prob. 64STPCh. 10.3 - Prob. 65STPCh. 10.3 - Prob. 66STPCh. 10.3 - Prob. 67STPCh. 10.3 - Prob. 68MRCh. 10.3 - Prob. 69MRCh. 10.3 - Prob. 70MRCh. 10.3 - Prob. 71MRCh. 10.3 - Prob. 72MRCh. 10.3 - Prob. 73MRCh. 10.3 - Prob. 74MRCh. 10.3 - Prob. 75MRCh. 10.3 - Prob. 76MRCh. 10.3 - Prob. 77MRCh. 10.3 - Prob. 78MRCh. 10.3 - Prob. 79MRCh. 10.3 - Prob. 80MRCh. 10.3 - Prob. 81MRCh. 10.3 - Prob. 1MCQCh. 10.3 - Prob. 2MCQCh. 10.3 - Prob. 3MCQCh. 10.3 - Prob. 4MCQCh. 10.3 - Prob. 5MCQCh. 10.3 - Prob. 6MCQCh. 10.3 - Prob. 7MCQCh. 10.3 - Prob. 8MCQCh. 10.3 - Prob. 9MCQCh. 10.3 - Prob. 10MCQCh. 10.3 - Prob. 11MCQCh. 10.3 - Prob. 12MCQCh. 10.3 - Prob. 13MCQCh. 10.3 - Prob. 14MCQCh. 10.3 - Prob. 15MCQCh. 10.3 - Prob. 16MCQCh. 10.3 - Prob. 17MCQCh. 10.3 - Prob. 18MCQCh. 10.3 - Prob. 19MCQCh. 10.3 - Prob. 20MCQCh. 10.3 - Prob. 21MCQCh. 10.3 - Prob. 22MCQCh. 10.3 - Prob. 23MCQCh. 10.3 - Prob. 24MCQCh. 10.3 - Prob. 25MCQCh. 10.3 - Prob. 26MCQCh. 10.3 - Prob. 27MCQCh. 10.3 - Prob. 28MCQCh. 10.3 - Prob. 29MCQCh. 10.3 - Prob. 30MCQCh. 10.3 - Prob. 31MCQCh. 10.3 - Prob. 32MCQCh. 10.3 - Prob. 33MCQCh. 10.3 - Prob. 34MCQCh. 10.3 - Prob. 35MCQCh. 10.3 - Prob. 36MCQCh. 10.4 - Prob. 1PCh. 10.4 - Prob. 2PCh. 10.4 - Prob. 3PCh. 10.4 - Prob. 4PCh. 10.4 - Prob. 5PCh. 10.4 - Prob. 1LCCh. 10.4 - Prob. 2LCCh. 10.4 - Prob. 3LCCh. 10.4 - Prob. 4LCCh. 10.4 - Prob. 5LCCh. 10.4 - Prob. 6LCCh. 10.4 - Prob. 7PPECh. 10.4 - Prob. 8PPECh. 10.4 - Prob. 9PPECh. 10.4 - Prob. 10PPECh. 10.4 - Prob. 11PPECh. 10.4 - Prob. 12PPECh. 10.4 - Prob. 13PPECh. 10.4 - Prob. 14PPECh. 10.4 - Prob. 15PPECh. 10.4 - Prob. 16PPECh. 10.4 - Prob. 17PPECh. 10.4 - Prob. 18PPECh. 10.4 - Prob. 19PPECh. 10.4 - Prob. 20PPECh. 10.4 - Prob. 21PPECh. 10.4 - Prob. 22PPECh. 10.4 - Prob. 23PPECh. 10.4 - Prob. 24PPECh. 10.4 - Prob. 25PPECh. 10.4 - Prob. 26PPECh. 10.4 - Prob. 27PPECh. 10.4 - Prob. 28PPECh. 10.4 - Prob. 29PPECh. 10.4 - Prob. 30PPECh. 10.4 - Prob. 31PPECh. 10.4 - Prob. 32PPECh. 10.4 - Prob. 33PPECh. 10.4 - Prob. 34PPECh. 10.4 - Prob. 35PPECh. 10.4 - Prob. 36PPECh. 10.4 - Prob. 37PPECh. 10.4 - Prob. 38PPECh. 10.4 - Prob. 39PPECh. 10.4 - Prob. 40PPECh. 10.4 - Prob. 41PPECh. 10.4 - Prob. 42PPECh. 10.4 - Prob. 43PPECh. 10.4 - Prob. 44PPECh. 10.4 - Prob. 45PPECh. 10.4 - Prob. 46PPECh. 10.4 - Prob. 47PPECh. 10.4 - Prob. 48PPECh. 10.4 - Prob. 49PPECh. 10.4 - Prob. 50PPECh. 10.4 - Prob. 51PPECh. 10.4 - Prob. 52PPECh. 10.4 - Prob. 53STPCh. 10.4 - Prob. 54STPCh. 10.4 - Prob. 55STPCh. 10.4 - Prob. 56STPCh. 10.4 - Prob. 57MRCh. 10.4 - Prob. 58MRCh. 10.4 - Prob. 59MRCh. 10.4 - Prob. 60MRCh. 10.4 - Prob. 61MRCh. 10.4 - Prob. 62MRCh. 10.4 - Prob. 63MRCh. 10.4 - Prob. 64MRCh. 10.4 - Prob. 65MRCh. 10.5 - Prob. 1PCh. 10.5 - Prob. 2PCh. 10.5 - Prob. 3PCh. 10.5 - Prob. 4PCh. 10.5 - Prob. 1LCCh. 10.5 - Prob. 2LCCh. 10.5 - Prob. 3LCCh. 10.5 - Prob. 4LCCh. 10.5 - Prob. 5LCCh. 10.5 - Prob. 6LCCh. 10.5 - Prob. 7PPECh. 10.5 - Prob. 8PPECh. 10.5 - Prob. 9PPECh. 10.5 - Prob. 10PPECh. 10.5 - Prob. 11PPECh. 10.5 - Prob. 12PPECh. 10.5 - Prob. 13PPECh. 10.5 - Prob. 14PPECh. 10.5 - Prob. 15PPECh. 10.5 - Prob. 16PPECh. 10.5 - Prob. 17PPECh. 10.5 - Prob. 18PPECh. 10.5 - Prob. 19PPECh. 10.5 - Prob. 20PPECh. 10.5 - Prob. 21PPECh. 10.5 - Prob. 22PPECh. 10.5 - Prob. 23PPECh. 10.5 - Prob. 24PPECh. 10.5 - Prob. 25PPECh. 10.5 - Prob. 26PPECh. 10.5 - Prob. 27PPECh. 10.5 - Prob. 28PPECh. 10.5 - Prob. 29PPECh. 10.5 - Prob. 30PPECh. 10.5 - Prob. 31PPECh. 10.5 - Prob. 32PPECh. 10.5 - Prob. 33PPECh. 10.5 - Prob. 34PPECh. 10.5 - Prob. 35PPECh. 10.5 - Prob. 36PPECh. 10.5 - Prob. 37PPECh. 10.5 - Prob. 38PPECh. 10.5 - Prob. 39PPECh. 10.5 - Prob. 40PPECh. 10.5 - Prob. 41PPECh. 10.5 - Prob. 42PPECh. 10.5 - Prob. 43PPECh. 10.5 - Prob. 44PPECh. 10.5 - Prob. 45PPECh. 10.5 - Prob. 46PPECh. 10.5 - Prob. 47PPECh. 10.5 - Prob. 48PPECh. 10.5 - Prob. 49PPECh. 10.5 - Prob. 50PPECh. 10.5 - Prob. 51PPECh. 10.5 - Prob. 52PPECh. 10.5 - Prob. 53PPECh. 10.5 - Prob. 54PPECh. 10.5 - Prob. 55PPECh. 10.5 - Prob. 56PPECh. 10.5 - Prob. 57PPECh. 10.5 - Prob. 58PPECh. 10.5 - Prob. 59PPECh. 10.5 - Prob. 60PPECh. 10.5 - Prob. 61PPECh. 10.5 - Prob. 62PPECh. 10.5 - Prob. 63PPECh. 10.5 - Prob. 1MPCh. 10.6 - Prob. 1PCh. 10.6 - Prob. 2PCh. 10.6 - Prob. 3PCh. 10.6 - Prob. 4PCh. 10.6 - Prob. 5PCh. 10.6 - Prob. 1LCCh. 10.6 - Prob. 2LCCh. 10.6 - Prob. 3LCCh. 10.6 - Prob. 4LCCh. 10.6 - Prob. 5LCCh. 10.6 - Prob. 6LCCh. 10.6 - Prob. 7LCCh. 10.6 - Prob. 8PPECh. 10.6 - Prob. 9PPECh. 10.6 - Prob. 10PPECh. 10.6 - Prob. 11PPECh. 10.6 - Prob. 12PPECh. 10.6 - Prob. 13PPECh. 10.6 - Prob. 14PPECh. 10.6 - Prob. 15PPECh. 10.6 - Prob. 16PPECh. 10.6 - Prob. 17PPECh. 10.6 - Prob. 18PPECh. 10.6 - Prob. 19PPECh. 10.6 - Prob. 20PPECh. 10.6 - Prob. 21PPECh. 10.6 - Prob. 22PPECh. 10.6 - Prob. 23PPECh. 10.6 - Prob. 24PPECh. 10.6 - Prob. 25PPECh. 10.6 - Prob. 26PPECh. 10.6 - Prob. 27PPECh. 10.6 - Prob. 28PPECh. 10.6 - Prob. 29PPECh. 10.6 - Prob. 30PPECh. 10.6 - Prob. 31PPECh. 10.6 - Prob. 32PPECh. 10.6 - Prob. 33PPECh. 10.6 - Prob. 34PPECh. 10.6 - Prob. 35PPECh. 10.6 - Prob. 36PPECh. 10.6 - Prob. 37PPECh. 10.6 - Prob. 38PPECh. 10.6 - Prob. 39PPECh. 10.6 - Prob. 40PPECh. 10.6 - Prob. 41PPECh. 10.6 - Prob. 42PPECh. 10.6 - Prob. 43PPECh. 10.6 - Prob. 44PPECh. 10.6 - Prob. 45PPECh. 10.6 - Prob. 46PPECh. 10.6 - Prob. 47PPECh. 10.6 - Prob. 48STPCh. 10.6 - Prob. 49STPCh. 10.6 - Prob. 50STPCh. 10.6 - Prob. 51STPCh. 10.6 - Prob. 52MRCh. 10.6 - Prob. 53MRCh. 10.6 - Prob. 54MRCh. 10.6 - Prob. 55MRCh. 10.6 - Prob. 56MRCh. 10.6 - Prob. 57MRCh. 10.6 - Prob. 58MRCh. 10.6 - Prob. 59MRCh. 10.6 - Prob. 60MRCh. 10.6 - Prob. 61MRCh. 10 - Prob. 1GRCh. 10 - Prob. 2GRCh. 10 - Prob. 3GRCh. 10 - Prob. 4GRCh. 10 - Prob. 5GRCh. 10 - Prob. 6GRCh. 10 - Prob. 7GRCh. 10 - Prob. 8GRCh. 10 - Prob. 9GRCh. 10 - Prob. 10GRCh. 10 - Prob. 11GRCh. 10 - Prob. 12GRCh. 10 - Prob. 13GRCh. 10 - Prob. 14GRCh. 10 - Prob. 15GRCh. 10 - Prob. 16GRCh. 10 - Prob. 17GRCh. 10 - Prob. 18GRCh. 10 - Prob. 19GRCh. 10 - Prob. 20GRCh. 10 - Prob. 21GRCh. 10 - Prob. 22GRCh. 10 - Prob. 1CRCh. 10 - Prob. 2CRCh. 10 - 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