Question
Construct a trapezium $\text{ABCD},$ when:$AB= CD = 3.2 \ cm, BC = 6.0 \ cm, AD = 4.4 \ cm$ and $AD \| BC.$
✓
Answer
Rough diagram $-$
Steps:
$1$. Draw $BC =6 \ cm$.
$2$. From $B C$ cut $B E=A D=4.4 \ cm$.
$3$. Draw triangle $D E C$ such that $D E=A B=2 \ cm$ and $C D=3.2 \ cm$.
$4$. Taking $B$ and $D$ as a center and radii $3.2 \ cm$ and $4.4 \ cm$ respectively, draw arcs cutting each other at $A$.
$5$. Join $A B$ and $A D$.
$\text{ABCD}$ is the required trapezium.
Construction $-$
Steps:
$1$. Draw $BC =6 \ cm$.
$2$. From $B C$ cut $B E=A D=4.4 \ cm$.
$3$. Draw triangle $D E C$ such that $D E=A B=2 \ cm$ and $C D=3.2 \ cm$.
$4$. Taking $B$ and $D$ as a center and radii $3.2 \ cm$ and $4.4 \ cm$ respectively, draw arcs cutting each other at $A$.
$5$. Join $A B$ and $A D$.
$\text{ABCD}$ is the required trapezium.
Construction $-$
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
In the following figure:$AD \perp BC, AC = 26 CD = 10, BC = 42, \angle DAC = x$ and $\angle B = y.$Find the value of :$(i) \cot\ x;(ii)\frac{1}{\sin ^2 y}-\frac{1}{\tan ^2 y};(iii)\frac{6}{\cos x}-\frac{5}{\cos y}+8 \tan y$
→Simplify the following:$2 \log 7+3 \log 5-\log \frac{49}{8}$
→Draw a frequency polygon to represent the following data :
| Weight (in kg) | 35-40 | 40-45 | 45-50 | 50-55 | 55-60 |
| No. of workers | 6 | 17 | 30 | 8 | 3 |
In $\triangle PQR$ is a triangle and $S$ is any point in its interior. Prove that $SQ + SR < PQ + PR.$
→A $12\ liter$ solution is $33 \frac{1}{3} \%$ acid. How much water must be added to get the solution having $20 \%$ acid?
→At what rate per cent per annum compound interest will ₹ 6250 amount to ₹ 7290 in 2 years?
Anant bought toffees at $5$ for a rupee. How many for a rupee must he sell to gain $25\%\ $?
→In quadrilateral $\text{ABCD, AD = BC}$ and $\ce{BD = CA}.$ Prove that: $(i)\angle ADB =\angle BCA$ $(ii)\angle DAB =\angle CBA$
→$\text{ABCD}$ is a kite in which $BC = CD, AB = AD. E, F$ and $G$ are the mid$-$points of $CD, BC$ and $AB$ respectively. Prove that: $\angle EFG = 90^\circ$
→Find the perimeter of an equilateral triangle whose area is $16 \sqrt{3} \ cm$.
→