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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 1 Page 644

Notice that the given figure is a 45^(∘)-45^(∘)-90^(∘) triangle.

5sqrt(2)

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Notice that the given right triangle has a marked angle measuring 45^(∘). Therefore, by the Triangle Angle Sum Theorem, the measure of the third angle must also be 45^(∘).

In a 45^(∘)-45^(∘)-90^(∘) triangle, the legs are congruent and the hypotenuse is sqrt(2) times the length of a leg. With this information, we can find the value of x. x = sqrt(2) * 5 ⇔ x=5sqrt(2)

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Exercises p.644-648