15. ABC is a right triangle, right angled at C and AC = V3.BC. Prove t

1.	15. ABC is a right triangle, right angled at C and AC = V3.BC. Prove thatZ ABC = 60°
Answer» 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.

15. ABC is a right triangle, right angled at C and AC = V3.BC. Prove thatZ ABC = 60°

Answer»

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.