Question

Construct $\Delta$KLM such that KL = 9 cm, KM = 8 cm, and $\angle K$ = 35°. Find the length of LM.

• A. 4.2 cm
• B. 5.2 cm
• C. 5.7 cm
• D. 6.2 cm

Answer 1

The correct option is B 5.2 cm

Steps of construction:
Step 1: Draw line segment KL = 9 cm.
Step 2: At K, construct $\angle K$ = 35°.
Step 3: With K as centre, cut an arc of radius 8 cm and mark the point of intersection with the line as M.
Step 4: Join M and L.

From the above construction, measure the length of LM using ruler.
LM = 5.2 cm