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Converting a Rectangle into Another Rectangle/Square without Changing Area

The following...

Question

The following are the steps for drawing a triangle of sides 4,5 and 6 cm and a square of the same area. Arrange them in the right order.

1) Draw a $⊥$ from C to AB and let it cut the semi circle at P and Q.

2) Construct the required square with PQ as its side.

3) Draw a $Δ$ ABC with side 6cm, 5cm, 4cm with AB = 6cm, AC = 5cm, BC=4cm

4) Draw a semi -circle with AB as diameter. Draw IC||AB.

A

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B

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C

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D

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Solution

The correct option is B

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Similar questions

Draw ΔABC with AB = 4 cm, BC = 5 cm and CA = 6 cm. Draw an isosceles triangle of the same area with one side as AB itself.

Q. Draw a ΔABC in which BC = 6 cm, AB = 4 cm and AC = 5 cm. Draw a triangle similar to ΔABC with its sides equal to (3/4)^th of the corresponding sides of ΔABC.

△ A B C

B C = 6 c m, A B = 4 c m

A C = 5 c m

. Draw a triangle similar to

△ A B C

with its sides equal to

(\frac{3}{4})^{t h}

of the corresponding sides of

△ A B C

Q. To construct a trapezium ABCD with

A B ∥ C D,

AB = 8 cm, BC = 5 cm, AD = 6 cm and

∠ A B C = 60^{\circ},

we follow the following steps:
1) Draw the line segment AB = 8 cm.
2) Construct the angle

∠ A B X = 60^{\circ}

at B.
3) With B as centre, draw an arc of radius 5 cm cutting BX at C.

The next step is ___.

Q. Draw a triangle ABC with side BC = 6 cm, AB = 5 cm and ∠ABC = 60°. Then construct a triangle whose sides are

\frac{3}{4}

time the corresponding sides of ΔABC.

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