Advertisements
Advertisements
प्रश्न
The sides of a triangle are in the ratio 15 : 13 : 14 and its perimeter is 168 cm. Find the area of the triangle.
उत्तर
Perimeter of the triangle = 168 cm
Sum of ratio of sides = 15 + 13 + 14 = 42
Let the first side =`(168xx15)/42` = 60 cm
Second side =`(168xx13)/42` = 52 cm
Third side =`(168xx14)/42` = 56 cm
Now, s =`"a + b + c"/2`
= `(60+52+56)/2=168/2=84`
∴ Area =`sqrt("s"("s"-"a")("s"-"b")("s"-"c"))`
= `sqrt(84(84-60)(84-52)(84-56))`
= `sqrt(84xx24xx32xx28)`
= `sqrt(2×2×3×7×2×2×2×3×2×2×2×2×2×2×2×7)`
= 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7
= 1344 cm2
APPEARS IN
संबंधित प्रश्न
In the figure given below, find the area of shaded region: (All measurements are in cm)
In the figure given below, find the area of shaded region: (All measurements are in cm)
If the area of a rhombus is 112 cm2 and one of its diagonals is 14 cm, find its other diagonal.
The area of a rhombus is 84 cm2 and its perimeter is 56 cm. Find its height.
Find the area of a triangle whose base is 30 cm and the height is 18 cm.
Find the height of a triangle whose base is 18 cm and the area is 270 cm2.
Find the base of a triangle whose area is 360 cm2 and height is 24 cm.
The ratio between the radius of two circles is 5 : 7. Find the ratio between their:
(i) circumference
(ii) areas
The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel one kilometer?
The length and breadth of a rectangular paper are 35 cm and 22 cm. Find the area of the largest circle which can be cut out of this paper.
