I. Construct an isosceles right triangle ABC, where AC is the hypotenuse. Measure the legs and the hypotenuse to the nearest tenth.
AB =
BC =
AC =
Divide: Hypotenuse/Leg = This ratio is equal to the square root of what integer?
1) If AB = 2, then AC = and BC =
2) If AC = 6, then AB = and BC =
3) If AB = x, then AC = and BC =
What is the special formula used for 45-45-90 triangles?
Using this formula, work out numbers 1 and 2 below and leave answers in simplified radical form.
1) AC = BC =
2) AB = BC =
II. Construct a 30-60-90 triangle XYZ, where XZ is the hypotenuse,
XY =
YZ =
XZ =
XY is called the leg and YZ is called the leg.
Which leg could you double to get the hypotenuse?
Divide: Long leg/ Short Leg = This ratio is equal to the square root of what integer?
1) If XZ = 10, then XY = and YZ =
2) If the short leg = 8, then XY = and XZ =
3) If the long leg = 6, then XZ = and YZ =
What are the special formulas used for 30-60-90 triangles?
III. Using these formulas, work out numbers 1, 2, and 3. Place answers in decimal form AND simplified radical form.
1)
2)
3)
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