Mathematics: Will give brainiest and 10 points, need answer asap! find the total area of the regular pyramid.l.a=

Step-by-step explanation:48.2ft...

Will give brainiest and 10 points, need answer asap!

adenmoye0910

10.03.2022

The total area is $16\sqrt{3}\ units^{2}$

Step-by-step explanation:

we know that

The surface area of the regular pyramid is equal to the area of its four triangular faces

Each face is an equilateral triangle

Applying the law of sines

The surface area is equal to

$SA=4[\frac{1}{2}b^{2}sin(60\°)]$

we have

$b=4\ units$

$sin(60\°)=\frac{\sqrt{3}}{2}$

$SA=4[\frac{1}{2}(4)^{2}\frac{\sqrt{3}}{2}]$

$SA=16\sqrt{3}\ units^{2}$

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