Q. The height of an equilateral triangle measures $9cm$. Find its area, correct upto $2$ places of decimal. Take $\sqrt{3}=1.732$

Q. The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 13 m, 14 m and 15 m. The advertisements yield an earning of Rs 2000 per $m^2$ a year. A company hired one of its walls for 6 months. How much rent did it pay?

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

Q. The shape of the cross-section of a canal is a trapezium if the canal is $10$ m wide at the top, $6$ m wide at the bottom and the area of its cross-section is $72{\text{m}}^2,$ find the depth of the canal.

Q. The perimeter of an isosceles triangle is $42cm$ and its base is $1\frac{1}{2}$ times each of the equal sides. Find (i) the length of each side of the triangle, (ii) the area of the triangle, and (iii) the height of the triangle. (Given, $\sqrt{7}=\mathrm{2.64.}$)

Q. If the area of an equilateral triangle is $36\sqrt{3}{cm}^2$, find its perimeter.

Q. Calculated the area of the triangle whose are 18 cm, 24 cm and 30 cm in length. also find the length of the altitude corresponding is the smallest side.

Q. Find the area of the triangle whose side are 42 cm, 34 cm and 20 cm in length. hence find the height corresponding to the longest side.

Q. The base of a triangular field is three times its altitude. If the cost of sowing the field at Rs. $58$ per hectare is Rs. $783$, find its base and height.

Q. Find the area of an isosceles triangle each of whose equal sides measures $13cm$ and whose base measures $20cm$.

Q. The base of an isosceles triangle measures 80 $$cm$$ and its area is 360 $$cm^2$$. Find the perimeter of the triangle.

Q. Find the area of the triangle whose base measures 24 cm and the corresponding height measures 14.5 cm.

Q. The base of a right-angled triangle measures 48 cm and its hypotenuse measures 50 cm. Find the area of the triangle.

Q. If the area of an equilateral triangle is $$ 81\sqrt{3}cm^{2}$$, find its height.

Q. The sides of a triangle are in the ratio $5:12:13,$ and its perimeter is 150 m. Find the area of the triangle.

Q. Find the area of a triangular field whose sides are 91m, 98m and 105m in length. Find the height corresponding to the longest sides.

Q. The perimeter of a triangular field is $540\text{m}$ and its sides are in the ratio of $25:17:12$. Find the area of the field. Also, find the cost of plowing the field at $\text{Rs.}5{\text{per m}}^2$.

Q. Two sides of a triangular field are 85m and 154m in length and its perimeter is 324m. Find
(i) the area of the field and
(ii) the length of the perpendicular from the opposite vertex on the side measuring 154m.

Q. The perimeter of an isosceles triangle is 32cm. The ratio of the equal side to its base is 3:2. Find the area of the triangle.

Q. Each side of an equilateral triangle measures $8cm$. Find
(i) the area of the triangle, correct to $2$ places of decimal and
(ii) the height of the triangle, correct to $2$ places of decimal. (Take $\sqrt{3}=1.732$)