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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

5. Proportions in Triangles

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Exercise 58 Page 478

You will need to use the Right Triangle Altitude Theorem — or one of its corollaries — to write proportions using the side lengths of similar right triangles.

m/h=h/n

Practice makes perfect

Let's analyze the given figure.

We are asked to use this figure to complete a proportion.

m/h=■/n Since we are given a right triangle, we can use the Right Triangle Altitude Theorem.

Let's compare the theorem to the known segment names of our figure. AD/CD=■/BD ⇔ m/h=■/n In our case, m and n are partial segments of the hypotenuse, and h is the length of the altitude. We can complete our proportion using the length of the altitude.

Let's complete the given proportion! m/h=h/n

Subchapter links

Lesson Check p.474

Standardized Test Prep p.478

Mixed Review p.478