Question

Triangle ABC is an isosceles triangle. Sides AB and BC are congruent.AB= 6x+3; BC=8x -1; AC=10x -10Find the value of x and the length of each side of the triangle. Enter your answers as numbers.x=_______AB=________BC=_________AC=__________

Answer 1

We have the following:

When two sides are congruent it is because they are equal

$\begin{gathered} AB=BC \\ 6x+3=8x-1 \end{gathered}$

solving for x:

$\begin{gathered} 6x+3=8x-1 \\ 8x-6x=3+1 \\ 2x=4 \\ x=\frac{4}{2} \\ x=2 \end{gathered}$

replacing:

$\begin{gathered} AB=6\cdot2+3=12+3=15 \\ BC=8\cdot2-1=16-1=15 \\ AC=10\cdot2-10=20-10=10 \end{gathered}$

The answer is:

x = 2

AB =15

BC = 15

AC = 10