triangle STR is an equilateral triangle. What is the value of x if the measures of the sides ate 7x+5,4x+14, and 10x-4 ?
x=3, sides are 26
x=root[3]{26}=2.9625
To find the value of x in an equilateral triangle, we need to set the measures of all three sides equal to each other and solve for x.
Given that the measures of the sides are 7x+5, 4x+14, and 10x-4, we can set up the equation:
7x+5 = 4x+14 = 10x-4
Now, let's solve the equation step by step:
1. Equate the first two sides:
7x+5 = 4x+14
2. Subtract 4x from both sides to isolate the x term:
7x - 4x + 5 = 14
3. Simplify:
3x + 5 = 14
4. Subtract 5 from both sides:
3x = 14 - 5
5. Simplify:
3x = 9
6. Divide both sides by 3 to solve for x:
x = 9/3
7. Simplify:
x = 3
Therefore, the value of x is 3.