Question

Construct ΔPQR such that QR =6 cm, ∠Q = ∠R = 60°. Measure the other two sides of the triangle and name the triangle.

Answer 1

QR = 6cm ∠Q = ∠R = 60°. 

Step -1: 

Draw a rough sketch of a triangle and label it with the given measurements. 

Step -2: 

Draw a line segment QR of length 6 cm.

Step -3: 

Draw a ray \(\overrightarrow {QX}\) making an angle 60° at Q 

Step -4: 

Draw a ray  \(\overrightarrow {RY}\) making an angle 60° at R. 

Step -5: 

Mark the intersecting point of the two rays as P. PQ = 6cm and PR = 6 cm 

∴ The triangle is an equilateral triangle.