The side edge of a regular triangular pyramid is 6 and is inclined to the base plane at an angle
| April 24, 2021 | education
The side edge of a regular triangular pyramid is 6 and is inclined to the base plane at an angle of 30 degrees. Find the height of the pyramid.
Danno: regular triangular pyramid SABC, SA = 6 cm, ∠SAO = 30 °.
Find: the height of the pyramid SO.
Since SO is the height of the pyramid, ∠SOA = 90 °. So △ SOA is rectangular.
Behind the property of a right-angled triangle with a 30 ° kut, SO = 1/2 SA. We have:
SO = 1/2 * 6 = 3 (cm).
Answer: SO = 3 cm.
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