Question

If the midsegment of a triangle is 2x+3 and the base it is parallel to is 30, what is X?

a. 12
b. 13.5
c. 13
d. 14.5

Answer 1

To find the value of x in the given triangle, we can use the fact that the midsegment of a triangle is parallel to the base. By setting up an equation and solving for x, we find that x = 6.

Step-by-step explanation:

To find the value of x, we can set up an equation using the fact that the midsegment of a triangle is parallel to the base. The ratio of the lengths of the midsegment and the base is equal to 1/2. So, we can set up the equation:

(2x+3)/30 = 1/2

Now we can cross-multiply and solve for x:

2(2x+3) = 30

4x+6 = 30

4x = 24

x = 6