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You want to make 3 pairs of earrings in the shape of isosceles triangles. Each earring will have a base of 2 cm. The wire to make the earrings is 50 cm long. If you want to maximize the use of the wire, which of the following would represent the length of the other two sides?
A. 3.1 cm
B. 3.2 cm
C. 4.2 cm
D. 6.1 cm

Respuesta :

The base is 2 cm long and you want 3 pairs, that means 6 earrings.2 cm × 6 earrings = 12 cm
12 cm of the 50 cm have been used for the base.50 - 12 = 38 cm is left
An isosceles triangle has 2 sides that are isosceles and you want 6 earrings.2 sides × 6 earrings = 12 sides
To figure out the length for those 12 sides with the 38 cm wire that is left, you divide.38 cm ÷ 12 sides = approx 3.1 cm for each side
adioabiola

The length of the each side of the two other sides of the isosceles triangle earring is 3.2cm

Total length of wire = 50 cm

Each base = 2 cm

3 pairs of earring equals 6 isosceles triangle

There are 6 isosceles triangle having equal base

Total wire used for base = 2cm × 6

= 12 cm

Wire remaining = Total length of wire - Total wire used for base

= 50 cm - 12 cm

= 38 cm

There are 2 length each in 6 isosceles triangle

Total number of length = 2 length × 6

= 12 Length

Length of each side = Wire remaining / Total number of length

= 38 cm / 12

= 3.166666666666666

Approximately,

3.2 cm

Therefore, length of the each side of the two other sides of the isosceles triangle earring is 3.2cm

Learn more about isosceles triangle:

https://brainly.com/question/13664166

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