Embibe Experts Solutions for Exercise 1: Exercise 1

In $\mathrm{\Delta PQR},\mathrm{Q}$ is a right angle,$\mathrm{PQ}=3$and $\mathrm{QR}=4$. If $\angle \mathrm{P}=\mathrm{\alpha }$ and $\angle \mathrm{R}=\mathrm{\beta }$, then$\tan \mathrm{\beta }$ is equal to _____.

In a $△ABC$, if $\angle A=90°$ and $\angle B=2\angle C$, then $\angle C$ is -

The area of an equilateral triangle is $9\sqrt{3} {\mathrm{m}}^2$ . The length (in $\mathrm{m}$) of the median is -

A ΔABC such that AB = $3$$\text{ cm}$cm, BC = $2$ $\text{cm}$cm and AC = $2.5$ $\text{cm}$. ΔDEF similar to ΔABC. If EF = $4$ $\text{cm}$cm then the perimeter of ΔDEF is _____

In a rectangle $ABCD$, $P,Q$ are midpoint of $BC$ and $AD$ respectively and $R$ is any point on $PQ$, then $∆ARD$ equals -

Each exterior angle of a regular hexagon is of measure:

Number of sides of two regular polygons are in the ratio $1 : 2$ and each of their interior angles are in the ratio $2 : 3$. The number of sides of the polygons are ?

The ratio of an interior angle to the exterior angle of a regular polygon is $7:2$. The number of sides of the polygon is -