Question

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?

Answer 1

20

Explanation:

if the diagram i have is correct then the answer is 20.

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`