Answer:
The answer is below
Step-by-step explanation:
BE and CF are two equal altitudes of triangle ABC using RHS congruence rule prove that triangle ABC is isosceles.
Solution:
A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.
The RHS congruence rule states that if the hypotenuse and one leg of one triangle is equal to the hypotenuse and leg of another triangle; then the two triangles are equal. Two triangles are equal if they have three equal angles and three equal sides.
We have right angle triangles BEC and BFC
BE = CF (given)
CB = BC (both triangles have the same hypotenuse)
Hence ΔBEC = ΔBFC (RHS congruence rule)
Therefore; ∠BCE = ∠FBC (congruence theorem)
Since two angles of triangle ABC are equal (∠B = ∠C), therefore triangle ABC is an isosceles triangle and AB = AC
