BE & CF r 2 equal altitudes of a triangle ABC using RHS proove that triangle ABC is isosceles

Asked by  | 17th Jan, 2010, 07:41: PM

Expert Answer:

In triangles BEC and CFB,we have

BE=CF.... given

angle BEC= angle CFB... each is 90 degrees

CB=CB .. common

so the triangles are cong by RHS rule

so

 angel BCE= angle CBF.. CPCT

 i.e. as far as triangle ABC is concerned,

 angle B= angle C

So ABC is an isoceles triangle.

Answered by  | 17th Jan, 2010, 10:36: PM

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