The perimeter of a triangle shown is 20 inches write an expression for the perimeter then write an equation that you can use to find the length of each side

Assuming the triangle is an equilateral triangle (all sides and angles are equal), the equation 3x = 20 would be used to find the length of each side.

Step-by-step explanation:

Formula for perimeter of triangle:

P = a + b + c

where a, b and c are the sides of the triangle.

Assuming the triangle is equilateral, all sides would be equal,

a = b = c = x

⇒ P = x + x + x

∴ 20 = 3x.

A + B + C = 20 in

A² = B² + C² - 2·B·C·cos (α)

B² = C² + A² - 2·A·C·cos (β)

C² = A² + B² - 2·A·B·cos (γ)

Step-by-step explanation:

The expression for the perimeter of a triangle with sides A, B, C is

Perimeter of triangle = A + B + C = 20 inches

A² = B² + C² - 2·B·C·cos (α)

B² = C² + A² - 2·A·C·cos (β)

C² = A² + B² - 2·A·B·cos (γ)

Where, angle α is the angle opposite of side A

angle β is the angle opposite of side B

angle γ is the angle opposite of side C.