Find the area of a rhombus with an obtuse angle of 150 if its side is 1 dm.
| August 13, 2021 | education
Let’s build the height BH to the AD side.
In a rhombus, the sum of adjacent angles is 180, then the angle ВAD = (180 – ABC) = (180 – 150) = 30.
Then in a right-angled triangle ABH the leg BH is located opposite the angle 30, then BH = AB / 2 = 1/2 = 0.5 dm = 5 cm.
Determine the area of the rhombus.
Savsd = AD * BН = 10 * 5 = 50 cm2.
Answer: The area of the rhombus is 50 cm2.
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