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The figure shown is an equilateral triangle. Calculate the length of each side and give your answer in cm.
First side:2x-7
Second side:x+y-9
Third side:y+5

Respuesta :

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Given at you have an equilateral triangle, all sides have the same length.

Therefore,
First side 2x-7 = Second side x+y-9 = Third side y+5

Let us look at the second and third sides for now:
x+y-9 = y+5
x = y+5 - (y-9)
x = y-y+5+9
x = 14

Then we look at equating the first and third sides:
2x-7 = y+5
y = 2x-7-5

Substitute x =14 in the equation above:
y = 2(14)-7-5
= 28-7-5
= 21-5
= 16

The length of the third side is:
y+5 = 16 +5 = 21

Given that the length of each sides are the same in an equilateral triangle, all sides have the length 21cm.

From the sides length of given equilateral triangle,

Length of each side = 21 cm

Given :

In an equilateral triangle , the length of sides are given by

First side:2x-7

Second side:x+y-9

Third side:y+5

All the sides are equal in equilateral triangle .

second side  = third  side length

[tex]x+y-9=y+5\\Subtract \; y \\x+y-y-9=y-y+5\\x-9=5\\x=5+9\\x=14[/tex]

first side =third  side

[tex]2x-7=y+5\\\2(14)-7=y+5\\21=y+5\\21-5=y\\y=16[/tex]

Now we find length of the side

[tex]2x-7\\2(14)-7\\21[/tex]

All sides are equal in equilateral triangle

Length of each side = 21 cm

Learn more :  brainly.com/question/3612999

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