Question
Construct a right$-$angled triangle in which Side $DE = 6 \ cm$ and $\angle E = 30^\circ , \angle D = 90^\circ $

Answer

Steps:
$1$. Draw $DE = 6\ cm.$
$2$. At $D$, construct $\angle PDE = 90^\circ $
$3$. With $E$ as centre, draw $\angle DEM = 30^\circ $
$4$. Ray $DP$ and ray $EM$ intersect at $F.$
Thus, $\text{DEF}$ is the required triangle.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

In a triangle, the sum of two angles is $139^\circ $ and their difference is $5^\circ $; find each angle of the triangle.
In the given figure $AF=B F$ and $\text{DCBF}$ is a parallelogram. If the area of $\triangle A B C$ is $30$ square units, find the area of the parallelogram $\text{DCBF}.$
Image
A straight line passes through the points $(2, 4)$ and $(5, - 2).$ Taking $1 \ cm = 1$ unit; mark these points on a graph paper and draw the straight line through these points. If points $(m, - 4)$ and $(3, n)$ lie on the line drawn; find the values of $m$ and $n.$
$\text{ABC}$ is an equilateral triangle. Its side $BC$ is produced up to point $E$ such that $C$ is mid$-$point of $BE$. Calculate the measure of angles $\text{ACE}$ and $\text{AEC}.$
If $a - b = 4$ and $a + b = 6;$ find$(i) \ a^2+ b^2;(ii) \ ab$
In the given figure, ABCD is a trapezium in which
$
\angle A=(x+25)^{\circ}, \angle B=y^{\circ}, \angle C=95^{\circ} \text { and } \angle D=(2 x+5)^{\circ}
$
Find the values of $x$ and $y$.
Image
Find $PQ,$ if $AB = 150\ m, \angle P = 30^\circ$ and $\angle Q = 45^\circ.$
.
$\text{ABCD}$ 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: The line drawn through $G$ and parallel to $FE$ and bisects $DA.$
Draw a frequency polygon to represent the following data :
Weight (in kg) 35-4040-4545-5050-5555-60
No. of workers 6173083
A $\triangle ABC$ has $B =C.$Prove that: The perpendiculars from $B$ and $C$ to the opposite sides are equal.