Question

Construct a triangle XYZ in which XY = 6 cm , angle X = 60 degree and angle Z = 90 degrees

Answer 1

Step-by-step explanation:

this is the question of trigonometry

let xy=hypotenuse of right angled triangle xyz=6cm

zx=base

yz=perpendicular

sinx=perpendicular/hypotenuse

cosx=base/hypotenuse

sin60=√3/2=base/6;base=zx=3√3cm

cos60=1/2=perpendicular/6; perpendicular=yz=3cm

now we have all three sides of triangle now construct your right angled triangle easily.