Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

the lengths of two sides of a triangle are 2x-5 and x+3. If the perimeter of the triangle is 4x-1, what is the length of the third side in terms of x?

Sagot :

rvillalta2002

Answer:

[tex]x-9[/tex]

Step-by-step explanation:

[tex]side_1=2x+5\\side_2=x+3\\side_3=\phi\\perimeter=\displaystyle\sum_{i=1}^3side_i=(2x+5)+(x+3)+\phi=4x-1\\\phi=4x-1-x-3-5-2x=x-9[/tex]

The length of the third side in terms of x is x+1.

What is the perimeter of the triangle?

The perimeter of a triangle is the sum of all its three sides.

We can work out the perimeter using the following formula:

The perimeter of a triangle is = sum of all three sides.

The length of the third side in terms of x is given by;

[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c[/tex]

Substitute all the values in the formula

[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c\\\\4x-1=2x-5+x+3+Side \ c\\\\4x-1=3x-2+Side \ c\\\\Side \ c=4x-3x-1+2\\\\Side \ c=x+1[/tex]

Hence, the length of the third side in terms of x is x+1.

Learn more about triangles here;

https://brainly.com/question/22850643

#SPJ2

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.