Question

In triangle xyz, angle xyz = 90 degree, angle yxz=60 degree,angle yzx =30 degree and xy =4cm then find xz

Answer 1

The length of XZ is 8 cm.

Step-by-step explanation:

Given : ΔXYZ

∠XYZ = 90°  , ∠YXZ = 60° , ∠YZX= 30°

XY = 4 CM

To find = XZ

Solution :

In ΔXYZ, with base YZ and ∠YZX= 30° that is equal to $\theta$

$\sin \theta = \frac{XY}{XZ}$ ( trigonometric ratios)

$\sin 30^o=\frac{4 cm}{XZ}$

$\frac{1}{2}=\frac{4cm}{XZ}$

$XZ=4cm\times 2=8 cm$

The length of XZ is 8 cm.

Learn more about : Trigonometric ratios

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