Question

Construct ∆XYZ in which XY=4cm, YZ=3.5cm and ZX=5cm.

Answer 1

$\dashrightarrow$ Steps :-

• First, draw a line segment ZX of 5 cm.
• Next, take a compass and measure it as 3.5 cm and keep it's tip on the point Z and draw an arc above the line segment.
• Again, take a compass and measure it as 4 cm and keep it's tip on the point X and draw an arc on the arc drawn before.
• Join the point Z and X to the point where both arcs meet. Name it as point Y.
• Finally, the triangle is constructed.

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$\dashrightarrow$ Instruments used :-

• Ruler :- The ruler is used to draw the line segments of accurate measurements and the drawn lines should be correct and straight always.
• Compass :- The compass is used to draw the arcs by taking the correct measurement from the ruler as given in the question.