In a triangle XYZ , XY=13,YZ=20,XZ=25 what is the measure of angle Z to the nearest degree.

Elias Hardy

Elias Hardy

Answered question

2023-03-20

In a triangle XYZ , XY=13,YZ=20,XZ=25 what is the measure of angle Z to the nearest degree.

Answer & Explanation

coguarsbq2q

coguarsbq2q

Beginner2023-03-21Added 10 answers

Cosine formula for angle Z can be given as follows:
XY2=XZ2+YZ2-2(YZ)(XZ)cosZ
XY2=XZ2+YZ2-2(YZ)(XZ)cosZ133=252+202-1000cosZ1000cosZ=625+400-1691000cosZ=856cosZ=0.856Z=31.13o

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