B Nirmala Shastry Solutions for Exercise 2: MISCELLANEOUS EXERCISE

In a $∆ABC$, $P$ is a point on $AB$ such that $\angle PCB=45°$, $\angle B=90°$ and $\angle ACB=60°$. Find the length of $AP$ if $BC=10 \mathrm{cm}$

In a $∆ABC$, $AD\perp BC$. $BC=100 \mathrm{m}$, $\tan B=\frac{2}{3}$ and $\tan C=\frac{6}{11}$. Find the length of $AD$

Find $x$ and $y$ in the given figure.

In $∆ABC$, $\angle B=90°$, $\angle C=30°$ and $AC=16 \mathrm{cm}$. Find the lengths of $AB$ and $BC$

In $∆PQR$, $P{Q}^2+Q{R}^2=P{R}^2$ and $PR=2QR$. Write the measures of the angles of the triangle.

$ABCD$ is a rectangle. $P$ is the midpoint of $BC$, $AP=8 \mathrm{cm}$. Find the sides $AB$ and $BC$

$ABC$ is an equilateral triangle, $AB=3 \mathrm{cm}, \mathrm{AD}=1 \mathrm{cm}$ and  $ED\perp AB$. Find the perimeter of $BCED$ 

In $∆PQR, PT\perp QR$, $PQ=10 \mathrm{cm}$, $QT=6 \mathrm{cm}$, $TR=15 \mathrm{cm}$. Find the value of $\sin x+\tan y$