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MA.912.G.5.4 Right Triangle Properties

 

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Two-Dimensional

Three-Dimensional

Trig & Discrete Math

In Your Text

Section 8-1; 531-539
Section 8-2; 541-549
Section 8-3; 522-560
Section 8-4; 562-571
Section 8-5; 574-581

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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 ABC, BD  is an altitude.

5-4

What is the length, in units, of BD ?

        5-4 Answers

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Example Two

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

5-4B

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

Blank Grid

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Additional Examples

coming-soon

VideoTutorial
Pythagorean Theorem
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Using Altitudes
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Using Geometric Mean
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Special Right Triangles
Please select a video file.

Reference Sheet

reference