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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Special Right Triangles

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Exercise 22 Page 645

Notice that the given figure is a 30^(∘)-60^(∘)-90^(∘) triangle.

x=24sqrt(3), y=48

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Notice that the given right triangle has a marked angle measuring 30^(∘). Therefore, by the Triangle Angle Sum Theorem the measure of the third angle must be 60^(∘).

In a 30^(∘)-60^(∘)-90^(∘) triangle, the longer leg is sqrt(3) times the length of the shorter leg. x=sqrt(3) * 24 ⇔ x=24sqrt(3) We found that the measure of the longer leg is 24sqrt(3). Also, in a 30^(∘)-60^(∘)-90^(∘) triangle, the hypotenuse is 2 times the length of the shorter leg. y= 2 * 24 ⇔ y=48

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Exercises p.644-648