Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

perimeter = 54 in what is the length of each side? ? in

Question

perimeter = 54 in
what is the
length of each
side?
? in

Explanation:

Step1: Recall the formula for the perimeter of a triangle

The perimeter \(P\) of a triangle is \(P=a + b+ c\), where \(a\), \(b\), and \(c\) are the side - lengths of the triangle. Let the unknown side length be \(x\). We know \(a = 20\), \(b = 20\), \(P=54\).

Step2: Substitute the known values into the perimeter formula

Substitute into \(P=a + b + c\): \(54=20 + 20+x\).

Step3: Simplify the right - hand side of the equation

First, simplify \(20 + 20\) to get \(40\). So the equation becomes \(54=40+x\).

Step4: Solve for \(x\)

Subtract \(40\) from both sides of the equation: \(x=54 - 40\).

Answer:

\(14\) in