Question

verify experimentally that the median of an isosceles triangle is perpendicular to the base. ​

Answer 1

Answer:

median divides the base of an isosceles triangle into two equal halves.

so let the angles be x(angles are equal as median divides the base of an isosceles triangle into two equal halves)

therefore,x+x=180(angles on a straight line and the line is the median)

                2x=180

               x=90

so the median of an isosceles triangle is perpendicular to the base. ​

Answer 2

Answer:

Let ABC  is an isosceles triangle with AB=AC and let AD be the median to the base BC. Then D is the mid-point of BC.  

ΔABD≅ΔADC by SSS  

So, ∠ADC =∠ADB=x °

∴ ∠ADB+∠ADC=180°

x+x=180 °

2x = 180 °

x = 90°

∴ ∠ADB=∠ADC= 90°

Hope this is helpful....