Triangle Formulas
Right Triangle
Side a and b are at a 90 degree angle
a = vertical side
b = horizontal side
c = longest side or hypotenuse
Solve for: Formula
Hypotenuse c sq.rt.(a2 + b2)
Side a sq.rt.(c2 + b2)
Side b sq.rt.(c2 + a2)
Area A 1/2ab
   
Oblique Triangle
The sides are any length and at any angle to each other
a = right side
b = longest side or base
c = left side
h = height (base b to junction of ac and 90 degrees to b) s = sides
Solve for: Formula
Area A 1/2bh
Area A if the abc are known s = 1/2(a + b + c)
A = sq.rt.[s(s-a)(s-b)(s-c)]
Circular Formulas
Circle
A = Area
d = diameter
p = perimeter or circumference
pi = 3.1416
pi/4 = .7854
r = radius
Solve for: Formula
perimeter p (pi)d
perimeter p 31/7 d (approximately)
perimeter p 2(pi)r
diameter d p/pi
diameter d 7/22 p (approximately)
diameter d 1.128(sq.rt.(A))
radius r p/2(pi)
radius r .5642(sq.rt.(A))
Area A (pi)d2/4 = .7854 d2
Area A (pi)r2 = 3.1416 r2
   
Helix
d = diameter of helix
l = lenght of one turn of helix
t = pitch, or rise in 1 turn
n = number of turns
pi2 = 9.8696
Solve for: Formula
lenght of one turn sq.rt.(pi2)d2 + t2
pitch or rise one turn t sq.rt.(l2) - pi2 d2
Total lenght or nl n[sq.rt.(pi2 d2 + t2)]