Question

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help
X Incorrect. If the two legs in the following 45-45-90 triangle have length 21 inches, how long is the hypotenuse? 45° √2x Round your answer to two decimal places. 1 The hypotenuse is approximately

Answer 1

Answer: 29.70 inches

Work Shown:

`\text{hypotenuse} = \text{leg}*√(2)\\\\\text{hypotenuse} = 21*√(2)\\\\\text{hypotenuse} \approx 29.69848480983\\\\\text{hypotenuse} \approx 29.70\\\\`

Note: This template formula works for 45-45-90 triangles only.

Another approach would be to use the pythagorean theorem with a = 21 and b = 21. Plug those into
`a^2+b^2 = c^2` to solve for c.