Fill in the blanks!

Pythagorean theorem: a^(2) + b^(2) = c^(2)
a^(2) + _ = _^(2)
a^(2) + _ = 841
a^(2) = _ - 484
a^(2) = _
\sqrt(a^(2) = \sqrt(357)
a = \sqrt(_) m

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

Let's fill in the blanks step by step.

  1. Pythagorean theorem: a^(2) + b^(2) = c^(2)

    • Here, _ = b^(2) and _ = c
  2. a^(2) + _ = 841

    • This means _ = b^(2)
  3. a^(2) = _ - 484

    • Here, we can substitute _ = 841, so:
    • a^(2) = 841 - 484
  4. Calculate a^(2):

    • a^(2) = 841 - 484 = 357
  5. Therefore, a^(2) = 357.

  6. Now, substitute into the last equation:

    • \(\sqrt{a^{2}} = \sqrt{357}\)
  7. Finally, to find a:

    • a = \(\sqrt{357}\) m

So, the filled-in blanks are:

Pythagorean theorem: a^(2) + b^(2) = c^(2)
a^(2) + b^(2) = c^(2)
a^(2) + 484 = 841
a^(2) = 841 - 484
a^(2) = 357
√a^(2) = √(357)
a = √(357) m