Bot GPT 4-o mini To fill in the blanks using the Pythagorean theorem for the right triangle with sides of length 8 cm and 5 cm, let's follow the problem step by step.
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Pythagorean theorem: \(a^2 + b^2 = c^2\)
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Triangle: \(c, 8 \text{ cm}, 5 \text{ cm}\) \[ 8^2 + 5^2 = c^2 \]
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Calculate the squares: \[ 8^2 = 64 \] \[ 5^2 = 25 \]
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Substitute into the equation: \[ 64 + 25 = c^2 \]
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Add the results: \[ 64 + 25 = 89 \] Therefore, \(c^2 = 89\).
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To find \(c\): \[ c = \sqrt{89} \]
So, filling in the blanks:
- The Pythagorean theorem: \(a^2 + b^2 = c^2\)
- \(8^2 + 5^2 = c^2\)
- \(64 + 25 = c^2\)
- \(25 = c^2\)
- \(\sqrt{89} = \sqrt{c^2}\)
- \(\sqrt{89} \text{ cm} = c\)
Thus, the complete filled-in statement would be:
- \(c^2\)
- \(25\)
- \(89\)
1 answer