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The Pythagorean Theorem Name:__________________ Per:____________ Date:_____________ Find the length of the missing side in the following examples. Leave your answers in exact square roots. Solve these problems without a calculator. Show work please. 1) 2) 6cm c 3) c 5 cm 2m 5m C 3 cm 12 cm 4) 5) x 25m 24 m 7) 5m 5m 10m 6) 8cm x x 5 cm 20cm 8) c c 50 40m 9) 10cm x 11cm 10) List the most common right triangles (you don’t have to show work): 3 – 4 – ___ 5 – 12 - ____ 7 – 24 - ___ 8 – 15 - ___ 11) Write the Pythagorean theorem math equation: __________________ 12) Explain the steps of the Pythagorean Theorem with complete sentences using academic language (or what you think academic language sounds like). ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ 13) Explain the steps of the Pythagorean Theorem using every day language. (For example, how would you talk if you were explaining it on a children’s tv show?) ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ 14) Explain the steps of the Pythagorean Theorem using informal language or texting language/spelling. (For example, how would you talk if you were hanging out with your friends or writing a note to them?) ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ 15) A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase? (Use an exact square root answer.)