Find the measure of each side of equilateral triagnle RST with RS = 2x + 2, ST = 3x, and TR + 5x -4.
To find the measure of each side of equilateral triangle RST, we can use the fact that an equilateral triangle has all three sides equal in length.
Given:
RS = 2x + 2
ST = 3x
TR = 5x - 4
Since RST is an equilateral triangle, we can set up the following equation:
2x + 2 = 3x = 5x - 4
Now, let's solve for x:
2x + 2 = 3x - 4 (subtract 2x from both sides)
2 = x - 4 (add 4 to both sides)
6 = x
Now that we've found x, we can substitute it back into the expressions for RS, ST, and TR to find their measures.
RS = 2x + 2
RS = 2(6) + 2
RS = 12 + 2
RS = 14
ST = 3x
ST = 3(6)
ST = 18
TR = 5x - 4
TR = 5(6) - 4
TR = 30 - 4
TR = 26
Therefore, the measure of each side of equilateral triangle RST is:
RS = 14
ST = 18
TR = 26
To find the measure of each side of an equilateral triangle, we need to remember that in an equilateral triangle, all sides are equal. Therefore, we can set up an equation to solve for the value of x.
Given:
RS = 2x + 2
ST = 3x
TR = 5x - 4
Since all sides of an equilateral triangle are equal, RS = ST = TR. Let's set up the equation:
2x + 2 = 3x = 5x - 4
To solve this equation, we need to combine like terms:
2x + 2 = 3x (subtracting 2x from both sides)
2 = x
Now that we have the value of x, we can substitute it back into the given expressions to find the measure of each side.
RS = 2x + 2 = 2(2) + 2 = 4 + 2 = 6
ST = 3x = 3(2) = 6
TR = 5x - 4 = 5(2) - 4 = 10 - 4 = 6
Therefore, each side of equilateral triangle RST is 6 units.
What is your question?
Please proofread your question before posting it. With math, typos can make a big difference.