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Find the height and area of an equilateral triangle with side lengths of 10 cm.
Height:____cm
Area:______cm²

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


Find The Height And Area Of An Equilateral Triangle With Side Lengths Of 10 Cm Heightcm Areacm PLEASE HELP ME class=

Sagot :

[tex]Area = 25\sqrt{3}[/tex]

[tex]Height = 5\sqrt{3}[/tex]

To find the height and area of an equilateral triangle we can start by finding the area using the following equation

[tex]Area =\frac{\sqrt{3}}{4} side^2\\Area =\frac{\sqrt{3}}{4} 10^2\\Area =\frac{\sqrt{3}}{4} 100\\[/tex]

Which then simplifies down to

[tex]Area = 25\sqrt{3}[/tex]

Next, we can find the height using the following equation

[tex]Height = \frac{side\sqrt{3} }{2} \\Height = \frac{10\sqrt{3} }{2}[/tex]

which then simplifies down to

[tex]Height = 5\sqrt{3}[/tex]

If this helped you a Brainliest would be much appreciated!

I wish I was good at math that’s why I am on this app lol