Construct a traingle of sides 5 cm - 8 cm - 12 cm and then construct a parallelogram whose area is equal to area of that triangle and one of whose angles is 60- The dimensions of such parallelogram are-A- 9 cm - 4 cm9 cm - 4 cmB- 6 cm - 2-6 cm6 cm - 2-6 cmC- 9 cm - 12 cm9 cm - 12 cmD- 4 cm - 3 cm4 cm - 3 cm

The correct option is A 9 cm, 4 cm 9 cm, 4 cm nbsp; Construct a triangle ABC such that AB = 5 cm, BC = 12 cm, CA = 8 cm. Method of Construction: (1) Draw ...

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Standard IX

Mathematics

Geometrical Method to Find Square Root of a Number

Construct a t...

Question

Construct a traingle of sides 5 cm, 8 cm, 12 cm and then construct a parallelogram whose area is equal to area of that triangle and one of whose angles is $60^{\circ}$ . The dimensions of such parallelogram are: ___ (approximately).

6 cm, 2.6 cm

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9 cm, 12 cm

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4 cm, 3 cm

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9 cm, 4 cm

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Solution

The correct option is D
9 cm, 4 cm

9 cm, 4 cm

Construct a triangle ABC such that AB = 5 cm, BC = 12 cm, CA = 8 cm.

Method of Construction:
(1) Draw a straight line BC of length 12 cm by the use of a ruler.
(2) Draw an arc of radius 5 cm at B of BC and an arc of radius 8 cm at C. Let the later one intersect the previous arc at A. A, B and A, C should be joined. With that, the triangle ABC is constructed, the sides of which are 5 cm, 12 cm, 8 cm.
(3) Determine D, the midpoint of BC. [Using a perpendicular bisetor]
(4) Draw PQ through A, parallel to BC.
(5) Draw (\angle CDE\) at D equal to $∠ X$ = $60^{\circ}$ , the side DE of which intersect PQ at E.
(6) Cut the part EF from EQ equal to DC.
(7) Join C and F.
(8) DEFC is the required parallelogram. By measurement, the parallelogram measures ( 6 cm,2.6 cm ). [approx].

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Construct a traingle of sides 5 cm, 8 cm, 12 cm and then construct a parallelogram whose area is equal to area of that triangle and one of whose angles is 60∘. The dimensions of such parallelogram are: ___ (approximately).

Construct a traingle of sides 5 cm, 8 cm, 12 cm and then construct a parallelogram whose area is equal to area of that triangle and one of whose angles is $60^{\circ}$ . The dimensions of such parallelogram are: ___ (approximately).