Constructing A Triangle When The Lengths Of Two Sides And The Measure Of The Angle Between Them Are Known. (SAS Criterion)

Example

Construct a triangle LMN with LM = 8 am, LN = 5 cm and ∠NLM = 60°.

Solution

Step 1: Draw a rough sketch of the triangle according to the given information.

Step 2: Draw a line segment LM = 8 cm.

Step 3: draw an angle of 60° at L and make a line LO.

Step 4: Take L as a centre and draw an arc of 5 cm on LO.

Step 5: Now join NM to make a required triangle LMN.

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