Question

Construct triangle XYZ in which XY = 4.5cm, YZ = 4.5 cm, and ZX= 6 Cm​

Answer 1

Answer:

Steps of construction:

(a) Draw a line segmentYZ = 5 cm. (b) Taking Z as centre and radius 6 cm,draw an arc. (c) Similarly, taking Y as centre and radius 4.5 cm,draw another arc which intersects first arc at point X. (d) Join XY and XZ.

Answer 2

$\dashrightarrow$ Steps :-

• First, draw a line segment ZX of 6 cm.
• Next, take a compass and measure it as 4.5 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 4.5 cm and keep it's tip on the point X and draw an arc on the arc drawn before.
• Join both the points Z and X to the point where both the 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 also the drawn lines should be straight always.
• Compass :- The compass is used to draw the arcs by taking the correct measurements as given in the question. We should draw two arcs and join them at a point.