Each piece of wire, given the shapes that are a square and an equilateral triangle, are 24 cm long.
How to find the length ?Since Ella used the same length of wire to make both shapes, the perimeter (total length of wire) of the square is equal to the perimeter of the triangle.
A square has four equal sides and an equilateral triangle has three equal sides.
4s = 3t
Given that the side length of the triangle is 2 cm longer than the side length of the square:
t = s + 2 (equation 2)
substitute equation 2 into equation 1:
4s = 3(s + 2)
4s = 3s + 6
4s - 3s = 6
s = 6
Substitute s = 6 into equation 2 to find t:
t = 6 + 2
t = 8
each piece of wire is:
For square: 4 * 6 = 24 cm
For triangle: 3 * 8 = 24 cm
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Which of the following is equal to √3 √2?
The options that are equal to the root √3/2 are options A and C.
How is this so?Given √3/2 is the value.
To Find - The angles for which √3/2 is the value.
Solution -
Sin60° = √3/2
Tan60° = √3
Cos30° = √3/2
Cos90° = 0
Hence, is the value of Sin60° and Cos30°. Options A and C.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Which of the following is equal to √3/2
(Select one or more answers)
Ans:
sin 60°
tan 60°
cos 30°
cos 90°