Geometry.2.D.24 - Prove the Pythagorean Theorem Using Similarity – Exit Ticket

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A right triangle has a leg with a length of 18 and a hypotenuse with a length of 36. Bernie notices that the hypotenuse is twice the length of the given leg, which means it is a 30–60–90 triangle. If Bernie is right, what should the length of the remaining leg be? Explain your answer. Confirm your answer using the Pythagorean theorem.

From EngageNY.org of the New York State Education Department. Grade Geometry Mathematics Module 2, Topic D, Lesson 24. Internet. Available from https://www.engageny.org/resource/geometry-module-...; accessed 14/Apr/2016.