Isosceles triangle

Calculate the size of the interior angles and the length of the base of the isosceles triangle if the length of the arm is 17 cm and the height to the base is 12 cm.

Correct answer:

A =  44.9009 °
B =  44.9009 °
C =  90.1982 °
c =  24.0832 cm

Step-by-step explanation:

r=17 cm h=12 cm  sinA=h:r  A=180°πarcsin(h/r)=180°πarcsin(12/17)=44.9009°=44°543"
B=A=44.9009=44.9009°=44°543"
C=180AB=18044.900944.9009=90.1982°=90°1154"
(c/2)2+h2=r2  c=2 r2h2=2 172122=2 145=24.0832 cm

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