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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

2. Special Right Triangles

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Exercise 9 Page 503

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

y=60sqrt(2)

Practice makes perfect

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 hypotenuse is sqrt(2) times the length of a leg. With this information, we can find the value of the variable y. y = sqrt(2) * 60 =60sqrt(2)

Subchapter links

Lesson Check p.503

Practice and Problem-Solving Exercises p.503-505

Standardized Test Prep p.505

Mixed Review p.505