le="( {81}^{ \frac{1}{4} } )^{4} " alt="( {81}^{ \frac{1}{4} } )^{4} " align="absmiddle" class="latex-formula">
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<h3>The lateral area for the pyramid with the equilateral base is 144 square units</h3>
<em><u>Solution:</u></em>
The given pyramid has 3 lateral triangular side
The figure is attached below
Base of triangle = 12 unit
<em><u>Find the perpendicular</u></em>
By Pythagoras theorem
Therefore,
<em><u>Find the lateral surface area of 1 triangle</u></em>
<em><u>Thus, lateral surface area of 3 triangle is:</u></em>
3 x 48 = 144
Thus lateral area for the pyramid with the equilateral base is 144 square units