Geometry Section 9.4 Special Right Triangle Formulas

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Presentation transcript:

Geometry Section 9.4 Special Right Triangle Formulas

What must we know in order to use the Pythagorean Theorem? Two sides of a right triangle.

In section 9. 2, we examine two special right triangles In section 9.2, we examine two special right triangles. They are special because we only need to know the length of 1 side to find the length of the other two sides.

45-45-90 or Isosceles Right Triangle In a 45-45-90 triangle, the hypotenuse is equal to the length of a leg times____.

Examples: Find the length of x and y.

Example: Find the perimeter of a square with diagonals of length 25cm.

In a 30-60-90 triangle, the hypotenuse equals two times the shorter leg and the longer leg equals the shorter leg times .

Examples: Find the length of x and y.

Example: Find the length of the altitudes in an equilateral triangle that has sides of length 20cm.