Advertisements
Advertisements
Question
Calculate the area and the height of an equilateral triangle whose perimeter is 60 cm.
Advertisements
Solution
Each side of the triangle is `60/3` = 20 cm
Hence, the area of the equilateral triangle is given by
`A = sqrt(3)/4 xx 20^2`
= `sqrt(3)/4 xx 400`
= `100sqrt(3)`
= 173.2 cm2
The height h of the triangle is given by
`1/2 xx 20 xx h = 173.2`
h = 17.32 cm
RELATED QUESTIONS
Find the area of a triangle whose sides are 18 cm, 24 cm, and 30 cm. Also, find the length of altitude corresponding to the largest side of the triangle.
If the difference between the sides of a right-angled triangle is 3 cm and its area is 54 cm2; find its perimeter.
The sides of a triangular field are in the ratio 5: 3: 4 and its perimeter is 180 m. Find:
- its area.
- the altitude of the triangle corresponding to its largest side.
- the cost of leveling the field at the rate of Rs. 10 per square meter.
Two sides of a triangle are 6.4 m and 4.8 m. If the height of the triangle corresponding to 4.8 m side is 6 m;
find :
(i) area of the triangle ;
(ii) height of the triangle corresponding to 6.4 m sides.
The area of an equilateral triangle is numerically equal to its perimeter. Find its perimeter correct to 2 decimal places.
The perimeter of a triangle is 72cm and its sides are in the ratio 3:4:5. Find its area and the length of the altitude corresponding to the longest side.
The table given below contains some measures of the triangle. Find the unknown values.
| Side 1 | Side 2 | Side 3 | Perimeter |
| 6 cm | 5 cm | 2 cm | ? |
The scalene triangle has 40 cm as its perimeter and whose two sides are 13 cm and 15 cm, find the third side
A piece of wire is 36 cm long. What will be the length of each side if we form an equilateral triangle
Find the perimeter of a triangle with sides measuring 10 cm, 14 cm and 15 cm.
