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Right Traingle Properties MA.912.G.5.4

Two-Dimensional

Student need to know...

Properties of right triangles.

  • The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.

  • 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.

  • Items may require the use of the geometric mean.

  • Radical expressions in multiple choice options will be in simplified or rationalized form.

Example One

In  ABC, BD  is an altitude.

What is the length, in units, of  ?

      

Example Two

Nara created two right triangles.  She started with  JKL and drew an altitude from point K to side JL.  The diagram below shows   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?

Phythagorean Theorem
Using Altitudes
Using Geometric Mean
Special Right Triangle
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