In an isosceles triangle, the perpendicular bisected of one leg passes thru the midpoint of the base. If the leg is 10, how long is the base?

1 Answer
Mar 27, 2018

20

Explanation:

if the diagram i have is correct then the answer is 20.
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because
in #triangle ADC# #angle C# is #90^@# and # angle D# is #90^@# so the #angle DAC = 180-45-90 = 45^@#
in an isosceles triangle the perpendicular from the top to the bottom will bisect the bottom line.
as #triangle ADC# is a isosceles triangle # AD = DC#
so, #DC = 10#
therefore, the length of the total base is #10+10 =20#