Question

The diagram represents The Bermuda Triangle, a region in the Atlantic Ocean off the coast of the United States. AB, AC, and BC are midsegments. Use the Triangle Midsegment Theorem to find the perimeter of the red triangle.

A) 393 miles
B) 524 miles
C) 1,573 miles
D) 3,146 miles

Answer 1

C. 1,573

Explanation:

P = side1+side2+side3

P = AB + BC + AC

P = 492+535+546

P = 1573

Answer 2

Each midsegment is exactly half as long as the side it is parallel to

AB = 492 as this is half of the 948 side (horizontal)

BC = 535 as it is half of the 1070 side (left slant)

AC = 546 as it is half of the 1092 side (right slant)

Add up the three sides to get the perimeter P

P = side1+side2+side3

P = AB + BC + AC

P = 492+535+546

P = 1573

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Final Answer: C) 1,573 miles