if angle ABC is a right triangle such that angle C =90 angle A=45 and BC =7 units Find angle B, AB, AC
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Step-by-step explanation:
In ΔABC,
BC/AC= Tan 45
Therefore, BC=AC (since Tan 45 =1)
Therefore, AC=7 Units
According to Pythagoras Theorem,
AB^2=AC^2+BC^2
AB^2= (7)^2+(7^2)
AB^2= 98
AB = 7root2 units
AC/AB= sin X
(7/7root2)=sinX
1/root2= sin 45
Therefore, Angle B = 45 degrees
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