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

Posted by [email protected] Diwakar 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 4 months ago

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

0Thank You

ANSWER

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CBSE > Class 10 > Mathematics