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The perimeter of Stephanie’s triangle is half the perimeter of Juan’s triangle. Juan’s triangle is shown. Write a numerical expression to describe the perimeter of Stephanie’s triangle.

The perimeter of Stephanies triangle is half the perimeter of Juans triangle Juans triangle is shown Write a numerical expression to describe the perimeter of S class=

Respuesta :

p=1/2(5+8+12)
Perimeter means add up all the sides. Since hers is half, multiply half by Juan’s perimeter.
MrRoyal

The perimeter of a triangle is the sum of all side lengths of the triangle. The numerical expression for the perimeter of Stephanie's triangle is: [tex]\frac 12 \times 25[/tex]

Let the sides of Juan's triangle be x, y and z. So:

[tex]x = 5 \\ y = 8\\ z = 12[/tex]

The perimeter (J) of Juan's triangle is calculated by adding all sides.

So:

[tex]J =x +y +z[/tex]

This gives:

[tex]J =5 + 8 + 12[/tex]

[tex]J =25[/tex]

From the question, we understand that:

The perimeter (S) of Stephanie's triangle is half that of Juan.

This means that:

[tex]S = \frac 12J[/tex]

Substitute 25 for J

[tex]S = \frac 12 \times 25[/tex]

Hence, the numerical expression for the perimeter of Stephanie's triangle is: [tex]\frac 12 \times 25[/tex]

Read more about perimeters at:

https://brainly.com/question/11957651

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