in a triangle /one side is x/one side is x+1/another side is 20/if it is true and what is value of x
If what is true?
I think this is the answer
x+x+1+20=180
2x+21=180
2x=180-21
2x=159
x=180/2
x=79.5 or if u round 80
To determine if the given side lengths form a valid triangle and find the value of x, we can use the Triangle Inequality Theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's apply this theorem to the given side lengths:
1. x + (x + 1) > 20 (Sum of the two smaller sides must be greater than the longest side)
2. 2x + 1 > 20 (Combine like terms)
3. 2x > 19 (Subtract 1 from both sides)
Now, to solve for x, divide both sides of the inequality by 2:
2x/2 > 19/2
x > 19/2
x > 9.5
Thus, for the given side lengths to form a valid triangle, x must be greater than 9.5. However, since the values of the sides are not provided, we cannot determine the exact value of x.