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 #32 # and the triangle has an area of #108 #. 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 #32 # and the triangle has an area of #108 #. What are the lengths of sides A and B?

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Answer 1 · 2016-08-11T21:18:24

#=17.37#

Explanation:

This is an isosceles triangle with #base=32# and #height=h#
Area of a triangle#=1/2times32timesh=108#
or
#=h=108times2/32=6.75#
In isosceles triangle #h# divides #base# equally
In other words isosceles triangle is 2 equal right-angled triangle combined with each right-angled triangle having #b=32/2=16 and p =6.75#
So side#A#=side #B=sqrt(16^2+6.75^2)=17.37#

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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 #32 # and the triangle has an area of #108 #. What are the lengths of sides A and B?

1 Answer

Explanation:

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