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kodGreya [7K]
3 years ago
10

In XYZ, XY=XZ Find the length of XY of XYZ if XY=2a, YZ=3a+1, andXZ=5a-12

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0

Answer: XY = 8

Step-by-step explanation:

The diagram of the triangle XYZ is shown in the attached photo.

XY=XZ. This means that two sides of the triangle are equal. Two angles are also equal. It means that the triangle XYZ is an isosceles triangle.

Since XY=XZ, then

2a = 5a - 12

Subtracting 2a from both sides of the equation,

2a - 5a = 5a - 12 - 5a

-3a = -12

a = -12/-3

a = 4

Therefore, the length of XY is 2a = 2×4 = 8

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