SOLUTION: how do i find the missing sides of each of these right triangles? please explain.. a=?,b=24,c=26 a=5,b=6,c=? a=7,b=?.c=14

Use the appropriate one of these three Pythagorean theorems:

1.  a = Öc² - b²

2.  b = Öc² - a²

3.  c = Öa² + b²

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We need a, so we use the first Pythagorean theorem above:

a = Öc² - b²

a = Ö26² - 24² = Ö676 - 576² = Ö100 = 10

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We need c, so we use the third Pythagorean theorem above:

c = Öa² + b²

c = Ö5² + 6² = Ö25 + 36 = Ö61 

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We need b, so we use the second Pythagorean theorem above:

b = Öc² - a²

b = Ö14² - 7² = Ö196 - 49 = Ö147 = Ö49*3 = 7Ö3

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Edwin