A child designs a flag in the shape of a rhombus, as shown in the diagram below. Which expression can be used to determine the s
ide length of the rhombus?
1 answer:
<span>Which expression can be used to determine the side length of the rhombus?
The answer is the first option: 10/Cos(30°)
Explanation:
1. As you can see in the figure attached, there is a right triangle and its hypotenuse (which is represented with the letter "x") is the side you want to calculate. So, you have:
Cos(</span>α)=Adjacent leg/Hypotenuse
<span>
</span>α=30°
<span> Adjacent leg=(20 in)/2=10 in
Hypotenuse=x
2. When you substitute these values into the formula, you obtain:
</span>
Cos(α)=Adjacent leg/Hypotenuse
<span> Cos(30°)=10/x
3. Therefore, you obtain the expression to determine the side length of the rhombus by clearing the hypotenuse "x", as below:
x=10/Cos(30°)
</span>
The answer is the first option: 10/Cos(30°)
Explanation:
1. As you can see in the figure attached, there is a right triangle and its hypotenuse (which is represented with the letter "x") is the side you want to calculate. So, you have:
Cos(</span>α)=Adjacent leg/Hypotenuse
<span>
</span>α=30°
<span> Adjacent leg=(20 in)/2=10 in
Hypotenuse=x
2. When you substitute these values into the formula, you obtain:
</span>
Cos(α)=Adjacent leg/Hypotenuse
<span> Cos(30°)=10/x
3. Therefore, you obtain the expression to determine the side length of the rhombus by clearing the hypotenuse "x", as below:
x=10/Cos(30°)
</span>
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Answer:
B. Inscribed equilateral triangle.
Step-by-step explanation:
An equilateral triangle is a type of triangle that has all sides to have the same length.
An inscribed figure or shape is one which has been constructed within the boundaries of another figure or shape.
In the given question, the markings is construction of an inscribed equilateral triangle. This procedure of the construction after completion, generate the triangle as shown in the construction attached to this answer.
