Question

solve for a given that the perimeter of the triangle is 36 inches. show your work here. hint: to add the square root symbol (√) type
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Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=a + a+ 12$, where the two equal - length sides are $a$ and the third side is 12, and $P = 30$.

Step2: Set up the equation

We have the equation $a + a+12=30$. Combine like - terms: $2a+12 = 30$.

Step3: Solve for $a$

Subtract 12 from both sides of the equation: $2a=30 - 12$, so $2a = 18$. Then divide both sides by 2: $a=\frac{18}{2}=9$.

Answer:

9