Construct a ABC in which AC - 5 cm- and - BAC - 60- and AB - BC - 1-2 cm-

Steps of construction: Step 1. Draw a line AC = 5 cm Step 2. Construct ∠ A nbsp;= 60^∘ and mark it as Y Step 3. Cut off line segment AD = 1.2 cm on AY. St ...

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Standard VIII

Mathematics

When Two Sides and Their Included Angle Are Given

Construct a A...

Question

Construct a $△$ ABC in which AC = 5 cm, and $∠ B A C = 60^{\circ}$ and AB – BC = 1.2 cm.

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Solution

Steps of construction:

Step 1. Draw a line AC = 5 cm

Step 2. Construct $∠ A = 60^{\circ}$ and mark it as Y

Step 3. Cut off line segment AD = 1.2 cm on AY.

Step 4. Join CD.

Step 5. Draw a perpendicular bisector of CD such that it intersects AY at B

Step 6. Join BC.

Thus, ABC is the required triangle.

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Construct a △ ABC in which AC = 5 cm, and ∠BAC=60∘ and AB – BC = 1.2 cm.

Steps of construction: Step 1. Draw a line AC = 5 cm Step 2. Construct ∠A=60∘ and mark it as Y Step 3. Cut off line segment AD = 1.2 cm on AY. Step 4. Join CD. Step 5. Draw a perpendicular bisector of CD such that it intersects AY at B Step 6. Join BC. Thus, ABC is the required triangle.

Construct a $△$ ABC in which AC = 5 cm, and $∠ B A C = 60^{\circ}$ and AB – BC = 1.2 cm.