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 #42 #. What are the lengths of sides A and B?

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Answer 1 · 2018-06-20T14:56:10

Area=#1/2 xx base xx height#

#42=1/2 xx 12 xx height#

#height=7#

the height will bisect the base and create two right triangles where the hypotenuse of each will be the lengths A and B

Using Pythagoras #a^2+b^2=c^2#

#6^2+7^2=A^2#

#36+49=A^2#

#A=B=sqrt 85#