MACHINE SHOP CALCULATION - OD1640 - LESSON 2/TASK 3
EXAMPLE
Given:
Sides A and B both equal 2 inches in length.
Therefore:
To confirm the relationship:
side A
= hypotenuse x sine of 45,,
= 2.83 x .707
= 2 inches
(2) Thus, in every 45,, - 45,, right triangle, each of the other two sides
is always equal to .707 x hypotenuse.
c.
Derivation of the 30,, - 60,, Triangle Relationship.
(1) To understand the derivation of this relationship, it must be
remembered that in a right triangle the sine of 30,, equals .5000 (see Table
9 on page 67) or 1/2, and also equals the side opposite the 30,, angle
divided by the hypotenuse.
Therefore, the side opposite the 30,, angle
divided by the hypotenuse is equal to 1/2, or the side opposite the 30,,
angle is equal to 1/2 times the hypotenuse.
EXAMPLE
In figure 24 on the following page, let side A = 5 inches and side C = 10
inches. According to Rule (1)(see page 53),
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