BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.

If two medians of a triangle are equal , prove analytically that the triangle is isosceles .

There exist a triangle ABC satisfying

Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . p :If ABC is an isosceles triangle , then the base angles are equal . q : If two base angles of the traingle ABC are equal , then the traingle ABC is isosceles .

In any triangle ABC "if" (b+c)/(a)="cot"(A)/(2) , prove that the triangle is right-angled.

If in triangle ABC cosA+cosB+cosC=3/2 then prove that triangle is equilateral

In /_\ABC . if b cos A -a cos B = 0, show that the triangle isosceles.

If in any triangle ABC, cot A + cotB + cotC = sqrt(3) , prove that, the triangle is equilateral.

In triangle ABC if cotA +cot B +cot C=sqrt3 then prove that the triangle is an equilateral triangle

In any triangle ABC, if cosA cos B + sin A sin B sinC =1 then prove that the triangle in an isosceles right angled.

In a Delta ABC