Perimeter 27813

Calculate the sizes of the remaining sides of the right triangle ABC: alpha = 45 degrees and perimeter o = 125. Thank you

Correct answer:

a =  36.6117
b =  36.6117
c =  51.7767

Step-by-step explanation:

α=45  o=125  β=90α=9045=45  α = β  o = a+b+c  sin α = a:c sin β = a:c  c sinα+c sinβ+c=o=125  c=1+sinβ+sinαo=1+sin45° +sin45° o=1+sin45° +sin45° 125=1+0.707107+0.707107125=51.7767  a=c sinα=c sin45° =51.7767 sin45° =51.7767 0.707107=36.612=36.6117
b=c sinβ=c sin45° =51.7767 sin45° =51.7767 0.707107=36.612=36.6117

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See also our trigonometric triangle calculator.

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