Question

in triangle xyz angle x is equal to 90 degree angle Y is equal to 60 degree side xz is equal to 5 root 3 find side xy​

Answer 1

Answer:

Let XYZ is a right angle triangle

YZ=x,XZ=2x,∠Y=90

∘

By using Pythagoras theorem

XZ

2

=XY

2

+YZ

2

XY

2

=XZ

2

−YZ

2

=(2x)

2

−(x)

2

=4x

2

−x

2

=3x

2

∴XY=

3x

2

=

3

x

From ΔXYZ

tanx=

XY

YZ

=

3

x

x

=

3

1

=tan30

∘

⇒∠YXZ=30

∘

tanz=

YZ

XY

=

x

3

x

=

3

=tan60

∘

⇒YZX=60

∘

∴∠YXZ=30

∘

and ∠YXZ=60

∘

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