Answer:
x = -9
Step-by-step explanation:
Given:
BC = x + 19
ST = x + 29
Required:
Value of x
Solution:
Midsegment theorem states that the midsegment of a triangle = ½ of the length of its third side
Thus:
BC = ½(ST)
Substitute
x + 19 = ½(x + 29)
Multiply both sides by 2
2(x + 19) = x + 29
2x + 38 = x + 29
Collect like terms
2x - x = -38 + 29
x = -9
