Answer: red 36 m
Step-by-step explanation: base plus base = 18 / 2 = 9 * 4 = 36 m
The required angle m∠ADB of the nomadic tribal rug is 112°
Given, that in ΔAED and ΔBDC,
where, m∠AED = 34° and m∠EAD = 112°
To find m∠ADB
By using the angle sum property of a triangle, which states that the sum of interior angles of a triangle is 180°.
Therefore in ΔAED,
m∠AED + m∠EAD + m∠ADE = 180°
34° + 112° + m∠ADE = 180°
or, m∠ADE + 146° = 180°
or, m∠ADE = 34°
Similarly, m∠BDC = 34°
Now, by using the sum of linear pair of angles,
m∠ADE + m∠ADB + m∠BDC = 180°
34° + m∠ADB + 34° = 180°
m∠ADB + 68° = 180°
m∠ADB = 180°- 68°
m∠ADB = 112°
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Use Pythagorean theorem for side1 = a, side2 = 3, and hypotenuse = 2a
a² + b² = c²
a² + (3)² = (2a)
a² + 9 = 4a²
9 = 3a²
3 = a²
√3 = a
side1 = a = √3 ft
side2 = 3 ft (this was given in the problem)
hypotenuse = 2a = 2√3 ft