If the triangle below is equilateral and side AB = 9 - 6x and side BC = 5 - 2x, find x.
Question
If the triangle below is equilateral and side AB = 9 - 6x and side BC = 5 - 2x, find x.
Solution
In an equilateral triangle, all sides are equal. Therefore, we can set the expressions for AB and BC equal to each other and solve for x.
So, 9 - 6x = 5 - 2x
First, we can get rid of the x terms on one side by adding 6x to both sides of the equation:
9 = 5 + 4x
Then, subtract 5 from both sides to isolate the x term:
4 = 4x
Finally, divide both sides by 4 to solve for x:
x = 1
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