Question

Draw ΔCAR in which CA = 8 cm, ∠A = 60° and AR = 8 cm. Measure CR, ∠R and ∠C. What kind of triangle is this?

Answer 1

CA = 8 cm, ∠A = 60°, AR = 8 cm

Step. -1: 

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

Step -2: 

Draw a line segment CA of length 8 cm. 

Step -3: 

Draw a ray \(\overrightarrow {AX}\) making an angle 60° with CA. 

Step -4: 

Draw an arc of radius 8 cm from A which cuts \(\overrightarrow {AX}\) at C. 

Step -5: 

Join C, R to get the required Δ CAR. CR = 8 cm, ∠C = 60° and ∠R = 60°. 

∴ This is an equilateral triangle.