Question

Construct triangle XYZ in which XY=6.3 cm , angle Y = 60 degree , angle Z =75 degree .

Answer 1

$\Delta XYZ,XY=6.3cm,\angle Y={60}^{\circ },\angle x={75}^{\circ }$

i) Draw a line segment xy = 6.3 cm.
ii) Take a radius measurement on compass, keeping center as A draw a semi circle as shown.
iii) On the intersection of XY & semi-circle, another arc on the semi-circle.
iii) Repeat step ii) & iii) on Y
iv) On the new arc cut, keep your compass and mark another semi-circle as shown.
v) Keep compass on first arc again and draw an arc to intersect the semi-circle
vi) Connect the intersection point to Y. THis is ${90}^{\circ }$
vii) To get ${75}^{\circ }$, bisect 90^\circ and ${60}^{\circ }$
viii) Cut area from point A and B as shown
ix) Draw a line through the new point and Y
x) Complete the triangle