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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