I have a Question. If the median of a triangle passes through the opposite side at a 90° angle, then the triangle is equilateral. Is this statement true always, sometimes or never?

Please Explain and justify your answer. YOU MUST ALSO include a diagram for your response.

THANK YOU FOR THOSE WHO HELPED.

Answer is in the photo. I can only upload it to a file hosting service. link below!

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2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.