geometry
posted by Anonymous .
WHAT IS THE BASE LENGTH OF AN ISOSCELES TRIANGLE IF YOU KNOW THE EQUAL SIDES HAVE A VALUE OF 5 AND THE ANGLE BETWEEN THEM IS 45 DEGREES AND THE BASE ANGLES ARE 67.5 DEGREES?

Why are you shouting?
You could use the Sine Law
let the missing side by x
x/sin45 = 5/sin67.5
x = 5sin45/sin67.5 = 3.827
you could also use the Cosine Law:
x^2 = 5^2 + 5^2  2(5)(5)cos45
= 50  35.35534
= 14.6447
x = √14.6447 = 3.827