Construct a triangle ABC with AB - 7cm- BC - 6-5 cm and - CAB - 60- Measure the length of AC in cm

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Construction of Triangles Given 2 Sides and 1 Angle

Construct a t...

Question

Construct a triangle ABC with AB = 7cm, BC = 6.5 cm and $∠ C A B = 60^{\circ}$ . Measure the length of AC (in cm)

7.7

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6.7

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7.6

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5.7

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Solution

The correct option is D $5.7$ cm
Step 1. Draw a line segment $A B = 7$ cm

Step 2. At a point, $A$ draw an angle of $60^{\circ}$ and extend the ray.

Step 3. Taking $B$ as center and radius $6.5$ cm draw an arc
intersecting the ray at $C$ .

Step 4.Join $B$ to $C$

Now measure $A C$ using a ruler.

$A C = 5.7$ cm

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Construct a triangle ABC with AB = 7cm, BC = 6.5 cm and ∠CAB=60∘. Measure the length of AC (in cm)

The correct option is D 5.7 cmStep 1. Draw a line segment AB=7 cmStep 2. At a point, A draw an angle of 60∘ and extend the ray.Step 3. Taking B as center and radius 6.5 cm draw an arc intersecting the ray at C.Step 4.Join B to CNow measure AC using a ruler.AC=5.7 cm

Construct a triangle ABC with AB = 7cm, BC = 6.5 cm and $∠ C A B = 60^{\circ}$ . Measure the length of AC (in cm)