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

Posted by Anjali Kumari Saha 5 years ago

CBSE > Class 10 > Mathematics

3 answers

Ranvijay Kumar 5 years ago

Mast questions Anjali

0Thank You

Kanak Chauhan 5 years ago

Altitude be √3a

0Thank You

Gaurav Seth 5 years ago

Answer:

Each altitude of the equilateral triangle is equal to

Thus,

To find:

Each of its altitudes = ?

Solution:

Given : ABC is an equilateral triangle of side 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 altitudes of the given equilateral triangle is equal to

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