Question

3) Solve the following subquestions :
(1) In triangle XYZ, angle XYZ = 90°,
angle YXZ = 60°, angle YZX = 30° and
XY = 4 cm then find XZ.
​

Answer 1

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.