Asked 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?

Answers

Answered by Reiny
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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