Using the Pythagorean Theorem

T.i.P.S.

Before students can solve problems involving the Pythagorean Theorem, students must understand and explain that the sum of the squares of the legs is equal to the square of the hypotenuse in a right triangle. Students also understand that given three side lengths with this relationship forms a right triangle.

Example

Joe is making a sun catcher for a glass project with various types of different sized triangles including right triangles. Which of the following measurements could not represent the side lengths of a right triangle?

   a) 6 cm, 8 cm, 10 cm
   b) 4 cm, 6 cm, 10 cm
   c) 10 cm, 24 cm, 26 cm
   d) 7 cm, 24 cm, 25 cm 

Hint 

Possible Solution

TEKS

Readiness Standard 8.7 Expressions, equations, and relationships. The student applies mathematical process standards to use geometry to solve problems. The student is expected to:
(C) use the Pythagorean Theorem and its converse to solve problems

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