Brijesh Dwevedi and Jitendra Gupta Solutions for Chapter: Heron's Formula, Exercise 2: Challengers*

The base of a triangular field is twice its altitude. If the cost ct ploughing the field at the rate of $₹3.75 \mathrm{per} 100 {\mathrm{m}}^2$ is $₹13500$, then the base and the altitude of the field are

The vercentage increase in the area of a triangle, if each side is quadrupled, is

If a circle, square and equilateral triangle have same perimeter, then which of the following options will be correct.

A lacider, $25 \mathrm{m}$ long is placed against a wall with its foot $7$ ir foom the wall. Now, how far should the foot be drawn out as that the top of the ladder way come down by half the distance the foot is drawn out

Two poles of different heights $15 \mathrm{m}$ and $12 \mathrm{m}$ are standing opposite to each other on either side of the road, which is $70 \mathrm{m}$ wide. FromO point between them on the road, a man is standing away $20 \mathrm{m}$ from a smaller pole at point $C$. He tide up the strings from point $C$ to the top of the poles. Then what will be the area covered by the string and poles.

If the points $A\left(-3, 0\right), B\left(3, 0\right)$ and $C\left(0, 4\right)$ are plotted on the cartesian paper, then what will be the area of $△ABC$ formed

In a triangle, the sum of any two sides exceeds the third side by $6$, then its area will be

The lengths of three medians of a triangle are $9 \mathrm{cm}, 12 \mathrm{cm}$ and $15 \mathrm{cm}$. The area (in $\mathrm{sq} \mathrm{cm}$ ) of this triangle is