Question

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

Answer 1

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

$\boxed{\mathrm{AC = 25 \:\: units ~}}$

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

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 ~

• $5x + 5 = 7x - 1$

• $7x - 5x = 5 + 1$

• $2x = 6$

• $x = 6 \div 2$

• $x = 3 \: \: units$

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

• AC = 6x + 7

that is ~

• $6(3) + 7$

• $18 + 7$

• $25 \: \: units$