Question

Construct APQR with PQ = 4.5 cm, ZP = 60°
and PR = 4.5 cm. Measure ZQ and ZR. What
type of a triangle is it?

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Answer 1

➤ Correct Question :-

Construct a ∆PQR with PQ = 4.5 cm, ∠P = 60° and PR = 4.5 cm. Measure ∠Q and ∠R. What type of triangle is it.

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$\dashrightarrow$ Steps :-

• First, draw a line segment PQ of 4.5 cm.
• Next, take a protractor and keep it's mid-point on the point P and draw a ray measuring 60° from it.
• Then, take a compass and measure it as 4.5 cm and keep it's tip on the point P and draw an arc on the ray drawn.
• Now, join the point Q to the point where the ray and the arc meets. Name it as point R.
• 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.
• Protractor :- The protractor is used to draw the rays measuring any measurement of degrees as given in the question. It's also used to measure the angles.
• Compass :- The compass is used to draw the arcs of accurate measurements of centimetres by taking the measurements from ruler.

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Answer

Measure of ∠Q :- 60°

Measure of ∠R :- 60°

It's an Equilateral triangle.