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Please Hurry) What is the length of side AC of the triangle? □ units. ​

Please Hurry What Is The Length Of Side AC Of The Triangle Units class=

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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

[tex]\boxed{\mathrm{AC = 25 \:\: units ~}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

As we can see in the given figure, Angles A and B are equal. therefore their opposite sides will be equal to one another, that is ~

  • AB = BC

now, let's plug the values of AB and BC in terms of x and equate them to find the value of x ~

  • [tex]5x + 5 = 7x - 1[/tex]

  • [tex]7x - 5x = 5 + 1[/tex]

  • [tex]2x = 6[/tex]

  • [tex]x = 6 \div 2[/tex]

  • [tex]x = 3 \: \: units[/tex]

now , let's find the measure of side AC ~

  • AC = 6x + 7

that is ~

  • [tex]6(3) + 7[/tex]

  • [tex]18 + 7[/tex]

  • [tex]25 \: \: units[/tex]

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