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Lila takes a 5252-centimeter by 3939-centimeter rectangle of plywood and uses a table saw to cut from one corner of the piece of plywood to the diagonally opposite corner. Now Lila has two equally sized triangles of plywood. What is the perimeter of each triangle?\newline_____ centimeters

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Full solution

Q. Lila takes a 5252-centimeter by 3939-centimeter rectangle of plywood and uses a table saw to cut from one corner of the piece of plywood to the diagonally opposite corner. Now Lila has two equally sized triangles of plywood. What is the perimeter of each triangle?\newline_____ centimeters
  1. Calculate Diagonal Length: Calculate the length of the diagonal using the Pythagorean Theorem.\newline522+392=diagonal252^2 + 39^2 = \text{diagonal}^2\newline2704+1521=diagonal22704 + 1521 = \text{diagonal}^2\newline4225=diagonal24225 = \text{diagonal}^2\newlinediagonal=4225\text{diagonal} = \sqrt{4225}\newlinediagonal=65 cm\text{diagonal} = 65 \, \text{cm}
  2. Find Triangle Perimeter: Determine the perimeter of one triangle.\newlinePerimeter = 52 cm+39 cm+65 cm52\,\text{cm} + 39\,\text{cm} + 65\,\text{cm}\newlinePerimeter = 156 cm156\,\text{cm}

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