Question

Solve for x if the triangles sides are X , 11 and 31



(1 point)

10.1
10.1

5.7
5.7

21.4
21.4

15.7

Answer 1

To solve for x in a triangle with side lengths x, 11, and 31, 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.

Applying this theorem to our triangle, we have the following inequalities:

x + 11 > 31
x + 31 > 11
11 + 31 > x

Simplifying these inequalities, we get:

x > 20
x > -20
42 > x

To find the range of possible values for x, we can combine these inequalities:

x > 20 and x > -20 and 42 > x

Since x must be greater than both 20 and -20, the smallest value of x would be 21. Additionally, since x must also be smaller than 42, the largest value of x would be 41.

Therefore, the solution for x in this triangle is 21 < x < 41.