SOLUTION: Isosceles triangle ABC
AB = 5cm
BC=AC
A = 70 degrees = B
Work out the degrees of the remaining angles and the length of the other sides of the triangle
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-> SOLUTION: Isosceles triangle ABC
AB = 5cm
BC=AC
A = 70 degrees = B
Work out the degrees of the remaining angles and the length of the other sides of the triangle
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Question 852223: Isosceles triangle ABC
AB = 5cm
BC=AC
A = 70 degrees = B
Work out the degrees of the remaining angles and the length of the other sides of the triangle Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Isosceles triangle ABC
AB = 5cm
BC=AC
A = 70 degrees = B
Work out the degrees of the remaining angles and the length of the other sides of the triangle
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Draw the figure and label the parts.
Since angle A = angle B = 70, angle C = 40 degrees
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So AB = 5 cm, and AB is opposite C.
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Draw a perpendicular bisector from C to AB.
That creates 2 right triangles.
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Base of the right triangle is (1/2)5 = 2.5 cm
The base angle is 70 degrees.
The height of the perpendicular bisector is 2.5*tan(70) = 6.87
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The hypotenuse = 6.87/sin(70) = 7.31 cm = AC
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Cheers,
Stan H.
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