SOLUTION: the length of the base of an isosceles triangle is 37cm. each base angle is 49 degree Celsius. find the length of each congruent side

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Question 764214: the length of the base of an isosceles triangle is 37cm. each base angle is 49 degree Celsius. find the length of each congruent side



Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
A line is drawn from mid point of
the base up to the apex of the triangle.
This gives two right angled triangles
Base = 37/2 = 18.5cm
Base angle = 49 degrees (Given)
To find the length of the hypotenuse:-
Cos = Adjacent/Hypotenuse
Cos (49) = 18.5/Hypotenuse
Hypotenuse = 18.5/cos(49)
Hypotenuse = 28.2cm
This is the size of the two congruent sides.
Hope this helps.
:-)