What percent of 8₹ is 50 paise?

The areas of two similar triangles are $121\ cm^2$ and $64\ cm^2$ respectively. If the median of the first triangle is $12.1\ cm$, find the corresponding median of the other.

The areas of two similar triangles are $100\ cm^2$ and $49\ cm^2$ respectively. If the altitude of the bigger triangles is $5\ cm$, find the corresponding altitude of the other.

In $ΔABC$, $D$ and $E$ are the mid- points of $AB$ and $AC$ respectively. Find the ratio of the areas $ΔADE$ and $ΔABC$.

If the area of triangle ABC formed by $A( x,\ y) ,\ B( 1,\ 2)$ and $ C( 2,\ 1)$ is 6 square units, then prove that $x+y=15$

In figure below, $DE\ ||\ BC$.

If $DE\ :\ BC\ =\ 3\ :\ 5$. Calculate the ratio of the areas of $ΔADE$ and the trapezium $BCED$.

Two poles of equal heights are standing opposite each other on either sides of the roads, which is 80 m wide. From a point between them on the road, the angle of elevation of the top of the poles are 60$^{o}$ and 30$^{o}$ respectively. Find the height of the poles and the distances of the point from the poles.

Find the number of terms of the A.P. $-12, -9, -6,........21$. If 1 is added to each term of this A.P. then find the sum of all terms of the A.P. thus obtained.

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of the contact.

If $DE\ =\ 4\ m$, $BC\ =\ 8\ cm$ and $Area\ (ΔADE)\ =\ 25\ cm^2$, find the $Area\ of\ ΔABC$.

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