NCERT Solutions for Chapter: Heron's Formula, Exercise 1: Exercise

The design on a tile is made of isosceles triangles.

The side lengths of the triangles are $6\mathrm{cm}, 6\mathrm{cm} \mathrm{and} 8\mathrm{cm}.$

How much area of the tile is black?

What st the area of a triangle with side lengths $20 \mathrm{cm}, 20 \mathrm{cm} \mathrm{and} 8 \mathrm{cm}$?

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

If the perimeter of an isosceles triangle is $11 \mathrm{cm}$ and its unequal side is $5 \mathrm{cm}$, then find its area.

In the marriage of Raj's brother Rajesh, a conical tent is made by stitching $12$ triangular pieces of cloth of two different colours red and white alternately, each piece measuring $10 \mathrm{cm}, 20 \mathrm{cm}$ and $20 \mathrm{cm}$.

(iii) Find the area of one red colour triangle (see in figure).

If (s-a)=10 cm, (s-b)=20 cm, (s-c)=30 cm, then the perimeter of the triangle is

Green cleaning refers to cleaning methods and products that are environmentally friendly ingredients and procedures to preserve human health and environmental quality. To preserve the environment. Ramesh made a slide in the park of his society. One the side walls of the slide there was a message "TAKE SHORT WALK IN PARK DOWN A HAPPY TRAIL (see figure). If the sides of the wall are $15 \mathrm{m}, 11 \mathrm{m}$ and $6 \mathrm{m}$. then answer the questions by looking at the figure.

(iii) Find the area (in ${\mathrm{m}}^2$) of the wall. 

A park is in the shape of a quadrilateral. The sides of the park are $15 \mathrm{m}, 20 \mathrm{m}, 26 \mathrm{m}$ and $17 \mathrm{m}$ and the angle between the first two sides is a right angle. Find the area of the park.