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 #5 # and the triangle has an area of #35 #. What are the lengths of sides A and B?

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Answer 1 · 2018-05-23T18:26:33

#color(blue)(A=B=809/4~~202.25)#

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The area of a triangle is given by:

#1/2"base" xx "height"#

#1/2(5)h=35=>h=14#

#bbh# bisects #bbc#, since this is an isosceles triangle.

By Pythagoras' theorem:

#A=B=sqrt((5/2)^2+(14)^2)=809/4~~202.25#

2 d.p.