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04-07-2020
Mathematics

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if a^2+b^2+c^2=169. find a, given that b=2√2, 3√c=9.

Respuesta :

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04-07-2020

Answer:

a = ±4√5

Step-by-step explanation:

Solve for c.

3√c = 9

√c = 9/3

√c = 3

c = 3²

c = 9

Put b=2√2 and c=9, solve for a.

a² + (2√2)² + 9² = 169

a² + 8 + 81 = 169

a² = 169 - 81 - 8

a² = 80

a = ±√80

a = ±4√5

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