Question
Mathematics Question on Some Properties of a Triangle
ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig. 7.31). Show that these altitudes are equal.
Answer
In ∆AEB and ∆AFC,
∠AEB and ∠AFC (Each 90º) A
=∠A (Common angle)
AB = AC (Given)
∠∆AEB ∠∆AFC (By AAS congruence rule)
∴ BE = CF (By CPCT)