Question

if the alltitude of an equilateral triangle is√6, then find its area​

Answer 1

Hi there!

Your Answer :- 2√3 cm²

$\bf\underline\blue{GIVEN :-}$

Altitude = √6 cm.

Triangle is Equilateral.

$\bf\underline\blue{SOLUTION :-}$

Use Pythagoras Theorem.

$\tt\red{{a}^{2} = {( \frac{a}{2} ) }^{2} + ( { \sqrt{6}) }^{2} }$

$\tt\green{{a}^{2} = \frac{{a}^{2}}{4} + 6}$

$\tt\pink{3 {a}^{2} = 24}$

$\tt\red{ {a}^{2} = 8}$

$\tt\gray{a = \sqrt{8} }$

Base = √8 cm.

Height = √6 cm.

Area =

$\tt\purple{\dfrac{ \sqrt{8} \times \sqrt{6} }{2} }$

$\tt\orange{2 \sqrt{3} }$

Answer 2

Answer:

The area will be 3.463 sq. units

Step-by-step explanation:

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