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MA.912.G.5.4 Right Triangle Properties

What You Need To Know...

Properties of right triangles.

  1. The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
  2. Items may require the use of the Pythagorean Theorem, special right triangles, and relationships involving an altitude drawn to the hypotenuse of a right triangle.
  3. Items may require the use of the geometric mean.
  4. Radical expressions in multiple choice options will be in simplified or rationalized form.

Example One

In  Triangle Marking.jpgABC, BD.jpg  is an altitude.


What is the length, in units, of BD.jpg ?

        5-4 Answers.jpg


Example Two

Nara created two right triangles.  She started with Triangle Marking.jpg JKL and drew an altitude from point K to side JL.  The diagram below shows  Triangle Marking.jpg JKL  and some of its measurements, in centimeters (cm).


Based on the information in the diagram, what is the measure of x to the nearest tenth of a centimeter?

Blank Grid.jpg


Additional Examples



Pythagorean Theorem

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Using Altitudes

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Using Geometric Mean

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Special Right Triangles

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Reference Sheet