- Special Right Triangles Chapter 4 Understanding Trigonometric Functions Language Objectives: We will review Special Right Triangles by do worksheet 11A.

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- Special Right Triangles Chapter 4 Understanding Trigonometric Functions Language Objectives: We will review Special Right Triangles by do worksheet 11A

Do you remember Special Right Triangles Special Right Triangles ?

By yourself draw a square and its diagonal on the paper. What type of the two triangles formed? Let x represent the measure of each side of the square and d the measure of the hypotenuse. According to the Pythagorean Theorem write d in term of x.

Example 4: If the bases on a baseball diamond are 90 feet apart, how far is it from home plate to second base?

Draw an equilateral triangle on the overhead or chalkboard with side of length x. Next draw an altitude from one of the vertices. This altitude bisects the vertex angle and bisects the opposite side. Use the Pythagorean Theorem to find the length of the altitude a.

In a 30°-60°-90° triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is times as long as the shortest leg.

Example 6: Solve for a and b

Example 7: The perimeter of an equilateral triangle is 9 cm. What is the length of the altitude?

Exit directions Do: From a group of 3 then complete the Worksheet 11A. Put: In box No. 3 Finish By: When done do: Find other proofs of the Pythagorean Theorem.