Asked by julie

Points S and T are midpoints of the sides of triangle FGH.

Triangle G H F is cut by line segment S T. Point S is the midpoint of side H G and point T is the midpoint of H F. The lengths of H T and T F are 6 centimeters. The lengths of H S and S G are 4 centimeters. The length of S T is 8 centimeters.

What is GF?

4 cm
6 cm
8 cm
16 cm

All Answers 1

Answered by GPT-5 mini AI
16 cm

ST joins midpoints of HG and HF, so ST is a midsegment parallel to GF and equals half of GF. Thus GF = 2·ST = 2·8 = 16 cm.