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Download Notes 8.2 Part 2 30-60-90 Triangles 30-60
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Notes 8.2 Part 2 30-60-90 Triangles Objective: To use 30-60-90 triangle properties to solve for missing side lengths. 30-60-90 Triangles 30 60 o o Get into groups of 2 or 3 and complete the following: 1. Sketch four 30-60-90 triangles. 2. Pick four different whole numbers for the lengths of the short legs of each triangle. 3. Using what you know about the relationship between the short leg and the hypotenuse, use the Pythagorean Theorem to find the lengths of the long leg of each triangle. (If you do not get a whole number as your answer, leave it in simplified radical form. 4. Do you see a pattern or relationship between the length of the long leg and another side of the triangle? 5. Write a formula for finding the lengths of all three sides of a 30-60-90 triangle, based upon what you came up with in step 4. 30-60-90 Triangle Rules 30o 60o Find x and y. 60o y 5 30o x Find the value of d and f. Leave answers in simplified radical form. Find x. Leave in simplified radical form. Find the value of all variables in the problem. Leave answers in simplified radical form. Extra Practice Problems Find the value of all variables in the problem. Leave answers in simplified radical form.
