Question
Construct a quadrilateral $ABCD$ in which $AB = 4.4\ cm$$, BC = 4\ cm, CD = 6.4\ cm, DA = 3.8\ cm$ and $BD = 6.6\ cm$.
✓
Answer
First, we draw a rough sketch of the quadrilateral $ABCD$ and write down its dimensions along the sides.
We may divide the quadrilateral into two constructible triangles $ABD$ and $BCD$.
Steps of Construction:
Step I: Draw $BD = 6.6\ cm$
Step II: With $B$ as the centre and radius $BC = 4\ cm$, draw an arc.
Step III: With $D$ as the centre and radius $6.4\ cm$, draw an are to intersect th are drawn in Step $II$ at $C$.
Step IV: With $B$ as the centre and radius $4.4\ cm$, draw an arc on the side $BD$ opposite to that of $C$.
Step V: With $D$ as the centre and radius $3.8\ cm$, draw an arc to intersect the arc drawn in Step $IV$ at $A$.
Step VI: Join $BA, DA, BC$ and $CD$ The quadrilateral $ABCD$ so obtained is the required quadrilateral.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Draw a rhombus $\text{ABCD}$, if $\text{AB} = 6\ cm$ and $\text{AC} = 5\ cm$.
→The list of a table fan is $Rs. 480$ and is available to a retailer at $25\%$ discount. For how much should a retailer sell it to gain $15\%$?
→The monthly wages of $30$ workers in a factory are given below:
$830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840, 890.$
Represent the data in the form of a frequency distribution with class size $10$.
→$830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840, 890.$
Represent the data in the form of a frequency distribution with class size $10$.
Find the difference between the simple interest and the compound interest on $Rs. 5000$ for $2$ years at $9\%$ per annum.
→Prove that the diagonals of a rhombus bisect each other at right angles.
Resolve each of the following quadratic trinomial into factor:
$28 - 31x - 5x^2$
→$28 - 31x - 5x^2$
Verify the division algorithm i.e., Dividend = Divisor $\times $ Quotient + Remainder, in the following. Also write the quotient and remainder.
Dividend: $4y^3+ 8y + 8y^2+ 7$
Divisor: $2y^2- y + 1$
→Dividend: $4y^3+ 8y + 8y^2+ 7$
Divisor: $2y^2- y + 1$
The perimeters of two squares are 40 m and 96 m, respectively. Find the perimeter of another square, equal in area to the sum of the first two squares.
In a model of a ship, the mast is $9\ m$ high, while the mast of the actual ship is $12\ m$ high. If the length of the ship is $28\ m$, how long is the model ship?
→A village, having a population of $4000$ requires $150$ litres water per head per day. It has a tank which is $20m$ long, $15m$ broad and $6m$ high. For how many days the water of this tank will last?
→