An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of #12 # and the triangle has an area of #36 #. What are the lengths of sides A and B?

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An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of #12 # and the triangle has an area of #36 #. What are the lengths of sides A and B?

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Answer 1 · 2016-10-08T10:56:49

The length of sides #A and B# are # 8.49(2dp) unit# each .

Explanation:

Side #C# is the base of the isoceles triangle, #A and B# are legs, and #x# be the altitude.
The area of triangle is #A_t=1/2*C*x or 36= 1/2*12*x or x=6#
# = (A^2-(C/2)^2)=x^2 or (A^2-(12/2)^2)= 36 or A^2-36= 36 or A^2=72 or A=sqrt72=+-8.485#.
Side can not be negative.

So the length of sides #A and B# are # 8.49(2dp) unit# each.[Ans]

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An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of #12 # and the triangle has an area of #36 #. What are the lengths of sides A and B?

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Explanation:

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