Question

In ∆WXZ and ∆YZX Side WZ ≅ (Each 4 cm) ∠WZX ≅ ∠YXZ ----------------- Side XZ ≅ Side ZX --------------- ∆ WXZ ≅ ∆YZX -------------------- test ​

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

∘