Question

ΔTUV∼ΔMLV

Two similar obtuse triangles. Triangle TUV and triangle MLV. Horizontal segment TL contains point V. The length of side TV is 28. The length of side UV is 16. The length of side LV is 56. The length of side MV is unknown and is labeled x.

Answer 1

98

Explanation:

From the statement of similarity, we can write this proportion.

TV/MV = UV/LV

28/x = 16/56

16x = 28 × 56

x = 7 × 14

x = 98