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If the side of a regular triangular pyramid is a right triangle and the side length of its bottom is a, then the side area of the pyramid is. Please attach a picture
The sides of a regular triangular pyramid are equal in length, so the sides are isosceles triangles and the sides are right triangles
So the sides are isosceles right triangles, the vertex angle is right angle
The side length of the bottom surface is a
So the hypotenuse of isosceles right triangle = a
Right angle side = √ 2 / 2A
One side area S1 = 1 / 2 * √ 2 / 2A * √ 2 / 2A = a ^ 2 / 4
The side area of the pyramid is = 3A ^ 2 / 4
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