ABC is a triangle in which altitudes BE and CF to sides AC and AB are

1.	ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see the given figure). Show that(i) △ABE≅△ACF(ii) AB=AC, i.e., ABC is an isosceles triangle.
Answer» $A B C$ is a triangle in which altitudes $B E$ and $C F$ to sides $A C$ and $A B$ are equal (see the given figure). Show that (i) $△ A B E ≅ △ A C F$ (ii) $A B = A C,$ i.e., $A B C$ is an isosceles triangle.

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see the given figure). Show that(i) △ABE≅△ACF(ii) AB=AC, i.e., ABC is an isosceles triangle.

Answer»

$A B C$ is a triangle in which altitudes $B E$ and $C F$ to sides $A C$ and $A B$ are equal (see the given figure). Show that

(i) $△ A B E ≅ △ A C F$

(ii) $A B = A C,$ i.e., $A B C$ is an isosceles triangle.