Question

abc is a triangle which is right angled at c ac is under root 3 prove that angle abc is 60 degree

Answer 1

Answer:

Step-by-step explanation:

Draw a median CD to AB from C.

Now, by Pythagoras theorem in ABC, AB=2*BC.

Thus, BD= half of AB = BC.

But, the point of bisection of the hypotenuse is equidistant from all sides.

Thus, CD=BD=AD.

That implifies, CD=BD=BC.

Thus, CDB is an equilateral triangle.

Therefore, angle DBC = angle ABC = 60 degrees.