Question

Find x. Write your answer as a decimal rounded to the nearest tenth.

Answer 1

x = 8.1

Explanation:

By geometric mean theorem:

`{y}^(2) = 5 * 12 \\ \\ \implies \: {y}^(2) = 60 \\ \\ now \: by \: pythagoras \: theorem \\ {x}^(2) = {y}^(2) + {5}^(2) \\ \\ \implies \: {x}^(2) = 60 + 5 \\ \\ \implies \: {x}^(2) = 65\\ \\ \implies \: x = \pm √(65) \\ \\ \implies \: x = \pm 8.06225775\\ \\ \implies \: x \approx \pm 8.1 \\ \\ x \: can \: not \: be \: negative \: \\ \\ \implies \: x = 8.1`