Question

find the altitude of an equilateral triangle of side 4cm​

Answer 1

Step-by-step explanation:

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1

Secondary School Math 5 points

The altitude of an equilateral triangle is 4 cm, then

the area of triangle is:

Ask for details Follow Report by Pari1398 27.07.2019

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suhani678

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Step-by-step explanation:

Let ABC be a right angled triangle,

and AD be the altitude.

we know that altitude of equilateral triangle is bisector.

so, BD= CD

AND, AB= 1/2 BD

by pythagoras theorm,

AD^2= AB^2 + BD^2

4^2 = AB^2 + ( 1/2AB)^2

16 = AB^2 +1/4AB^2

16= 5/4AB^2

AB^2 = (16×4)/5

AB^2 = 64/5

AB= 8/√5 cm

AREA = 1/2×BASE×HEIGHT

area = 1/2× 8/√5× 4

area= 16/√5 cm^2

Answer 2

Answer:

AREA OF EQUILATERAL TRIANGLE IS ROOT3/4 ASQUARE

ROOT3/4 (4)(4)=ROOT3(4)

1/2 (BASE)(HEIGHT)=AREA OF TRIANGLE

1/2 (4)(H)=ROOT3(4)

H =2ROOT3

Step-by-step explanation: