Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Two sides of a triangle have the same length.the third side measures 6m less than twice the common length.the perimeter of the triangle is 10m.what are the lengths of all three sides?

Sagot :

Let the two sides be represented by x,

Let the third side be 2x - 6 since it is 6m less than twice the common length.

The perimeter of the triangle is,

[tex]x+x+2x-6=\text{Perimeter}[/tex]

Given that the perimeter of the triangle is 10m, let us solve for x,

[tex]\begin{gathered} x+x+2x-6=10 \\ 4x-6=10 \\ \text{collect like terms,} \\ 4x=10+6 \\ 4x=16 \end{gathered}[/tex][tex]\begin{gathered} x=\frac{16}{4} \\ x=4m \end{gathered}[/tex]

Let us now get the length of the three sides of the triangle,

[tex]\begin{gathered} x=4m\text{ for the first length} \\ x=4m\text{ for the second length} \\ 2x-6=2(4)-6=8-6=2m \\ 2x-6=2m\text{ for the third length} \end{gathered}[/tex]

Hence, the length of the three sides are 4m, 4m, and 2m.

View image VedaantL433676
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.