# algebra

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If a equileteral triangle has 3 sides in cm x+4, 4x+y, y+2.calculate the length of each sides.

• algebra -

so they are all equal to each other. Go ahead and do it.
4 x + y = y + 2
so
x = 1/2
x+4 = 4 1/2
y+2 = 4 1/2
y = 2 1/2
so
4x + y = 4 1/2 check all sides are 4 1/2

• algebra -

An equilateral triangle is a triangle in which all three sides are equal.

In this case :

x + 4 = 4 x + y = y + 2

x - 4 x + 4 = y

- 3 x + 4 = y

y = - 3 x + 4

4 x + y = y + 2

4 x = y - y + 2

4 x = 2 Divide both sides by 4

x = 2 / 4

x = 1 / 2

y = - 3 x + 4

y = - 3 * 1 / 2 + 4

y = - 3 / 2 + 4

y = - 3 / 2 + 8 / 2

y = 5 / 2

first side:

x + 4 = 1 / 2 + 4 = 1 / 2 + 8 / 2 = 9 / 2 = 4.5 cm

second side :

4 x + y = 4 * 1 / 2 + 5 / 2 = 4 / 2 + 5 / 2 = 9 / 2 = 4.5 cm

third side :

y + 2 = 5 / 2 + 2 = 5 / 2 + 4 / 2 = 9 / 2 = 4.5 cm

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