Question

Construct a triangle XYZ in which YZ=5.8 cm, angle Y=angle Z=30. Measure XY and XZ

Answer 1

Step-by-step explanation:

we know sum of the angle of the triangle =180

so,x+y+z=180

or,x=180-y-z

or,x=180-60=120

triangle sine rule,

{yz/Sin(x)}={xy/sin(z)}={zx/sin(y)}

therefore,

(5.8/sin120)=(xy/sin30)=(xz/sin30)

5.8(2/√3)=xy ★2

xy=(5.8/√3)

similarly we cac find the value of Xz