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Page 10: Right Angle Triangles


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RIGHT ANGLE TRIANGLES

The right angle triangle is a very important and useful tool in sheet metal flat pattern development. Triangle rules state that the sum of all three angles in a triangle = 180°.

If one angle = 90° then it is called a right angle triangle.

If there is at least two known features of a right angle triangle than the whole triangle can be solved.

IF YOU KNOW TWO
YOU WILL KNOW THE
WHOLE TRIANGLE!

 Right Angle Triangle

TRIGONOMETRY MADE SIMPLE!
THREE IMPORTANT BUTTONS ON YOUR CALCULATOR: sin  cos  tan

IF A SIDE &
AN ANGLE IS KNOWN     SOLVE                  FORMULAS             

(E) D & B               A       tan D x B  or      (B ÷ tan E)
(E) D & B               C       B ÷ cos D  or      (B ÷ sin E)
(E) D & A               B       A ÷ tan D  or      (A x tan E)
(E) D & A               C       A ÷ sin D  or      (A ÷ cos E)
(E) D & C               A       sin D x C  or      (cos E x C)
(E) D & C               B       cos D x C  or      (sin E x C)
 D                      E                          90 - D
 E          bsp;            D                          90 - E

Do the following problems.

           1.  If D = 30° and C = 4.024 what is A = _________
           2.  If E = 60° and A = 2.012 what is C = _________
           3.  If D = 30° and C = 4.024 what is B = _________
           4.  If D = 45° and B = 2.500 what is A = _________



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