Rachel is trying to find the length of the lake shown on the diagram. She knows that if the two triangles are similar, she can use a proportion to solve for the length. How can Rachel justify that the triangles are similar? What is the length of the lake?
A)
Corresponding sides of the two triangles have the ratio of 4:1, which
proves SAS similarity. The length of the lake is 212 m.
B)
Corresponding sides of the two triangles have the ratio of 4:1, which
proves SSS similarity. The length of the lake is 132 m.
C)
Corresponding sides of the two triangles have the ratio of 3:1, which
proves SSS similarity. The length of the lake is 159 m.
D)
Corresponding sides of the two triangles have the ratio of 4:1, which
proves AAS similarity. The length of the lake is 240 m.