Maths-
General
Easy
Question
ABC is a triangle in which altitudes BE and CF to sides AC and AB respectively are equal. Show that
(i) ΔABE ⩭ ΔACF
(ii) AB = AC
Hint:
Find the congruence rule used and then find whether the sides are equal.
The correct answer is: AB = AC
(i) In ΔABE and ΔACF, we have
( Common angle)
(Since BE ⟂ AC and CF ⟂ AB)
BE = CF (given)
Hence, by AAS criterion ΔABE ⩭ ΔACF
(ii) Since ΔABE ⩭ ΔACF, we have
AB = AC (Corresponding part of congruent triangles)
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