Homework Help: geometry

Posted by Anonymous on Wednesday, November 3, 2010 at 5:15pm.

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?

geometry - Reiny, Wednesday, November 3, 2010 at 5:21pm
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

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