Match the following columns

Column I		Column II
(a)	A man goes $10 \mathrm{m}$ due east and then $20 \mathrm{m}$ due north. His distance from the starting point is.......$\mathrm{m}$.	p	$25\sqrt{3}$
(b)	In an equilateral triangle with each side $10 \mathrm{m}$, the altitude is.....$\mathrm{cm}$.	q	$5\sqrt{3}$
(c)	The area of an equilateral triangle having each side to $10 \mathrm{cm}$ is......${\mathrm{cm}}^2$.	r	$10\sqrt{5}$
(d)	The length of diagonal of a rectangle having length $8 \mathrm{m}$ and breadth $6 \mathrm{m}$ is......$\mathrm{m}$	s	$10$

 

In the given figure, $DE\parallel BC$. If $DE=5 \mathrm{cm}, BC=8 \mathrm{cm}$ and $AD=3.5 \mathrm{cm}$ then $AB=?$

Two poles of height $6 \mathrm{m}$ and $11 \mathrm{m}$ stand vertically upright on a ground. If distance between their feet is $12 \mathrm{m}$ then the distance between their tops is

If $△ABC~△DEF$ such that $2AB=DE$ and $BC=6 \mathrm{cm}$, Find $EF$.

In the given figure, $DE\parallel BC$ such that $AD=x \mathrm{cm}, DB=(3x+4) \mathrm{cm}, AE=(x+3) \mathrm{cm}$ and $EC=(3x+19) \mathrm{cm}$.  

Find the value of $x$.

A ladder $10 \mathrm{m}$ long reaches the window of house $8 \mathrm{m}$ above the ground. Find the distance of the foot of the ladder from the base of the wall.