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26 votes
26 votes
!!50 point!!!

for each statement determine if "yes it is possible to decomposition" or "no it is not possible to decomposition" and explain your reasoning

statement A: the area of triangle GHL plus the area of triangle HIJ

statement B: the area of the triangle GHK plus the area of triangle HIK

statement C: the area of the triangle GJK plus the area of triangle ILK

statement D: the area of triangle GHK plus the area of triangle ILK ​

!!50 point!!! for each statement determine if "yes it is possible to decomposition-example-1
User Binarysmacker
by
2.9k points

1 Answer

14 votes
14 votes

Answer:

  • B: the area of the triangle GHK plus the area of triangle HIK

Explanation:

Connect points H and K and you have two triangles:

  • ΔGHK and ΔHIK

The answer options:

statement A:

  • the area of triangle GHL plus the area of triangle HIJ
  • False. This leaves a gap (HJKL)

statement B:

  • the area of the triangle GHK plus the area of triangle HIK
  • True

statement C:

  • the area of the triangle GJK plus the area of triangle ILK
  • False. This leaves a gap and overlap.

statement D:

  • the area of triangle GHK plus the area of triangle ILK ​
  • False. This leaves a gap and overlap.