BASIC GEOMETRY Section 5.8 Applying Special Right Triangles

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Presentation transcript:

BASIC GEOMETRY Section 5.8 Applying Special Right Triangles

Two Special Right Triangles 45-45-90 Triangle 30-60-90 Triangle Used in Trig, squares, hexagons, other polygons, & some 3-D objects. 45° 30° 60°

45-45-90 Triangle Isosceles Right Triangle 45-45-90 Thm: The sides of these triangles have the following ratios

Example 1: Find the value of x Example 1: Find the value of x. Give the exact answer and an answer rounded to the nearest tenth.

Example 2 Jana is cutting a square of material for a tablecloth. The table’s diagonal is 36in. She wants the diagonal of the tablecloth to be an extra 10in, so it will hang over the edges of the table. What size square should Jana cut to make the tablecloth? Round to the nearest inch.

30-60-90 Triangle 30-60-90 Thm: The sides of these triangles have the following ratios Easy way to remember them:

Example 3: Find the values of x and y Example 3: Find the values of x and y. Give the exact answer and an answer rounded to the nearest tenth..

Example 4 An ornamental pin is in the shape of an equilateral triangle. The length of each side is 6 cm. Josh will attach the fastener to the back along segment AB . Will the fastener fit if it is 4 cm long?

Assignment #8 Page 360 #’s 1-8,(42)