Question

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

Answer 1

the answer is xz =8centimeter

Answer 2

The value of XZ is 8 cm

Step-by-step explanation:

here

in traingle XYZ

$\angle XYZ = 90^\circ \\\angle YXZ = 60^\circ\\\angle YZX = 30^\circ\\XY = 4 cm$

to find : XZ

in triangle XYZ , base = YZ  and $\angle YZX = 30 ^\circ$

using trigonometry

$sin \theta = \frac{XY}{XZ}$

$sin 30 = \frac{4}{XZ}$

$\frac{1}{2} = \frac{4}{XZ}\\ XZ = 4\times 2 \\XZ = 8 cm$

hence ,

The value of XZ is 8 cm

#Learn more;

In ∆xyz,right angle is at y,yz=x,and xz=2x then determine angle yxz and angle yzx

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