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

Question

asked Feb 23, 2021 24.3k views

1 Answer

Harish Mahajan · Answer 1 · 2021-02-28T03:40:27+0000

Answer:

a = ±4√5

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