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14-11-2019
Mathematics

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In triangle XYZ, A is the midpoint of XY, B is the midpoint for YZ, and C is the midpoint of XZ. Also,
AY = 7
BZ = 8
XZ = 18
What Is the perimeter of Triangle ABC?
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WinterWhitney WinterWhitney

18-11-2019

Answer:

Perimeter of Δ ABC = 7 + 8 + 9 = 24 cm

Step-by-step explanation:

In triangle Δ XYZ ,

A is the mid point of XY

B is the midpoint of YZ

C is the mid point of XZ

AY = 7

BZ =8

XZ = 18

The mid - point theorem states that,

The segment formed by connecting two mid - points of a triangle is parallel to the third side and half as long

AY = 7 then BC = 7 cm

BZ = 8 then AC = 8 cm

XY = 18 then AB = 9 cm

Perimeter of Δ ABC = 7 + 8 + 9 = 24 cm

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