Triangle ABC is an equilateral triangle of side 2a units. Find each of

1.	Triangle ABC is an equilateral triangle of side 2a units. Find each of its altitudes
Answer» Mast questions Anjali Altitude be √3a Answer:Each altitude of the equilateral triangle is equal to\xa0Thus,To find:Each of its altitudes = ?Solution: Given : ABC is an equilateral triangle of\xa0side 2a.In equilateral triangle, △ADB = △ADC& ∠ADB = ∠ADC (Both 90 degree as AD ⊥ BC)Thus, △ ADB ≅ △ ADC (By R. H. S. Congruency)As per CPCT i.e. they are corresponding parts of congruent triangle,BD = DC Using Pythagoras theorem,Hence,Thus, the\xa0altitudes\xa0of the given equilateral triangle is equal to\xa0

Discussion