Constructing A Triangle When The Measures Of Two Of Its Angles And The Length Of The Side Included Between Them Is Given. (ASA Criterion)

Example

Draw a triangle ABC if BC = 8 cm, ∠B = 60°and ∠C = 70°.

Solution

Step 1: Draw a rough sketch of the triangle.

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

Step 3: Take B as a centre and make an angle of 60° with BC and join BP.

Step 4: Now take C as a centre and draw an angle of 70° using a protractor and join CQ. The point where BP and QC intersects is the required vertex A of the triangle ABC.

ABC is the required triangle ABC.

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