16/34 is the answer : CAH is adjacent/ hypotenuse
The lengths of segment which is the part of a 12 inch line segment closest to the golden ratio, (1+√5)/2 are 7.4166 inch and 4.5834 inch.
<h3>What is the value of golden ratio?</h3>
The value of golden ratio is equal to 1.618. It can also be given as (1+√5)/2.
A 12 inch line segment is divided into the two parts in a particular ratio. Let suppose the line segment is AC which is divided into AB and BC parts. Thus,
AB+BC=AC
AB+BC=12 ....1
The ratio of both segment is equal to golden ratio. Thus
Put this value in equation one as,
AB+7.4166=12
AB=4.5834
Hence, the lengths of segment which is the part of a 12 inch line segment closest to the golden ratio, (1+√5)/2 are 7.4166 inch and 4.5834 inch.
Learn more about the golden ratio here;
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Step-by-step explanation:
We only know 1 side, and that is the width of 4. We only have the diagonals at our side. Half of the diagonal is 5. As a result, the diagonal is 10. I want you to imagine a triangle that has a base of 4 and a hypotenuse of 10. Use the Pythagorean Theorem to find b, or the height.
a² + b² = c²
4² + b² = 10²
16 + b² = 100
100 - 16 = 84
b² = 84
b = √84
b ≈ 9.165
Now we know the length of the rectangle, which is about 9.165. Multiply that by 4 to get the area.
9.165 * 4
36 + 0.4 + 0.24 + 0.020
36.4 + 0.24 + 0.02
36.64 + 0.02
36.66 u²
The area of rectangle RSTU is about 36.66 units squared.