The base of the pyramid is a rectangle (6×8 cm) Height = 12 cm and passes through the intersection
| February 10, 2021 | education
The base of the pyramid is a rectangle (6×8 cm) Height = 12 cm and passes through the intersection of the diagonals. Find the side edge of the pyramid.
The ACD triangle is rectangular, in which, according to the Pythagorean theorem, we determine the length of the AС hypotenuse. AC ^ 2 = AD ^ 2 + СD ^ 2 = 64 + 36 = 100.
AC = 10 cm.
Point O divides the diagonal AC in half, then AO = AC / 2 = 10/2 = 5 cm.
The AOE triangle is rectangular, then AE ^ 2 = AO ^ 2 + OE ^ 2 = 25 + 144 = 169.
AE = 13 cm.
Answer: The length of the side rib is 13 cm.
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