In an ABD rhombus with a perimeter of 20 cm, the obtuse angle is 2 times the acute angle.
| September 18, 2021 | education
In an ABD rhombus with a perimeter of 20 cm, the obtuse angle is 2 times the acute angle. Find the perimeter of the triangle ABD.
We take the value of the smaller angle for x, then:
x + 2x = 180
3x = 60
Therefore triangle ABD is equilateral.
Since the perimeter of the rhombus is 20 cm, the side AB will be equal to:
20: 4 = 5 cm.
The perimeter of triangle ABD is:
3 * 5 = 15 cm.
Answer: the desired perimeter is 15 cm.
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