Question

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

a) 15
b) 12
c) 13.5
d) 10.5

Answer 1

To find the value of x in a triangle given the midsegment and the base, we can set up an equation using the properties of midsegments and parallel lines. Solving the equation will give us the value of x.

Step-by-step explanation:

To find the value of x, we need to set up an equation using the properties of midsegments of triangles. The midsegment of a triangle connects the midpoints of two sides and is parallel to the third side. In this case, the midsegment is 2x + 3 and the base is 30. Since the midsegment is parallel to the base, their lengths must be equal. Therefore, we can set up the following equation:

2x + 3 = 30

Now, we can solve for x:

2x = 30 - 3

2x = 27

x = 27/2

x = 13.5

So the value of x is 13.5.