RGeom7.4_day1.notebook
January 26, 2017
7.4 Special Right Triangles!!
Certain triangles possess special properties that allow us to use
short cut formulas in arriving at information about their lengths. These
formulas let us arrive at the answer very quickly.
AN ISOSCELES RIGHT TRIANGLE or a 45o‐45o‐900 triangle!
For each 45o-45o-90o triangle, find the length of the hypotenuse in simplified radical form. You must use
Pythagorean Theorem to find the length of the hypotenuse and complete the table below. Show all work below.
From the investigation:
1.
What is the relationship between the lengths of the sides of a 45o-45o-90o triangle
and the hypotenuse?
2.
In a 45o-45o-90o triangle, the hypotenuse is ____________ times as long as each leg.
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RGeom7.4_day1.notebook
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In an isosceles right triangle, or a 45‐45‐90 triangle, we know the following relationship
between the sides!
45
MAKE A TABLE TO HELP YOU
SOLVE FOR THE MISSING SIDES!
1
45
=
90
1
=
Remember- Always rationalize the denominator!
You may NOT have a radical in the denominator when simplified!
Example 1:
Example 3:
Example 2:
Example 4:
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?
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4.
3.
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pg. 461: 1-7, 11
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