Advertisements
Advertisements
प्रश्न
The base of a triangle field and its height are in the ratio 2:5. If the cost of cultivating the field at Rs.42 per sq. m is Rs.7560, find its base and height.
उत्तर
Let the Area of the triangular plot of land = A m2
∴ A x 42 = 7560
⇒ A = `(7560)/(42)`
= 180
Let the base and height of the plot be 2x and 5x respectively
We know that, Area of a triangle
= `(1)/(2)"b.h" "i.e"(1)/(2)("Base" xx "Height")`
⇒ 180 = `(1)/(2)(2x).(5x)`
⇒ 5x2 = 180
⇒ x2 = `(180)/(5)`
= 36
⇒ x = 6
⇒ Base = 2(6) = 12m; Height = 5(6) = 30m.
APPEARS IN
संबंधित प्रश्न
Find the area of an isosceles triangle with perimeter is 36 cm and the base is 16 cm.
The sides of a triangular field are in the ratio 5: 3: 4 and its perimeter is 180 m. Find:
(i) its area.
(ii) the altitude of the triangle corresponding to its largest side.
(iii) the cost of leveling the field at the rate of Rs. 10 per square meter.
The given figure shows a right-angled triangle ABC and an equilateral triangle BCD. Find the area of the shaded portion.
Find the area of a triangle, whose sides are :
21 m, 28 m, and 35 m
The area of an equilateral triangle is `144sqrt3` cm2; find its perimeter.
Use the information given in the adjoining figure to find :
(i) the length of AC.
(ii) the area of an ∆ABC
(iii) the length of BD, correct to one decimal place.
Find the area of a triangle whose sides are 27 cm, 45 cm and 36 cm.
The table given below contains some measures of the triangle. Find the unknown values.
| Side 1 | Side 2 | Side 3 | Perimeter |
| ? | 8 m | 3 m | 17 m |
The scalene triangle has 40 cm as its perimeter and whose two sides are 13 cm and 15 cm, find the third side
Find the perimeter of the triangle, whose sides are 13 cm, 5 cm and 14 cm
