Perimeter and Semi-Perimeter of a Triangle

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.

(i) Find the semi-perimeter of triangle.

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 $20 \mathrm{cm}$.

(ii) Find the semi perimeter of one red colour triangle.

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

The perimeter of a triangle is $50 \mathrm{cm}$. One side of a triangle is $4 \mathrm{cm}$ longer than the smaller side and the third side is $6 \mathrm{cm}$ less than twice the smaller side. Find the area of the triangle.

The perimeter of a triangular field is $240 \mathrm{dm}$. If two of its sides are $78 \mathrm{dm}$ and $50 \dim$, then find the length of the perpendicular on the side of length $50 \mathrm{dm}$ from the opposite vertex.

The length of the two sides of a right angled triangle containing the right angle differ by $2 \mathrm{cm}$. If the area of the triangle is $24 {\mathrm{cm}}^2$, then find the perimeter of the triangle.

The ratio of the equal sides to the base of an isosceles triangle is $3:1$ If the perimeter of the triangle is $28 \mathrm{cm}$, then find its area.

The perimeter of a triangular field is $450 \mathrm{m}$ and its sides are in the ratio $13:12:5$. Find the area of the triangle.

Find the area of the triangle having perimeter $32 \mathrm{cm}$, one side $11 \mathrm{cm}$ and difference of other two sides is $5 \mathrm{cm}$.

The base of an isosceles triangle is $24 \mathrm{cm}$ and its area is $192 \mathrm{sqcm}$. Its perimeter is

The perimeter of an equilateral triangle is $60 \mathrm{m}$. The area is