Advertisements
Advertisements
Question
The sides of a triangle are in the ratio 15 : 13 : 14 and its perimeter is 168 cm. Find the area of the triangle.
Advertisements
Solution
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
RELATED QUESTIONS
Find the area of the square whose perimeter is 56 cm.
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)
Find the area of the rhombus, if its diagonals are 30 cm and 24 cm.
If the area of a rhombus is 112 cm2 and one of its diagonals is 14 cm, find its other diagonal.
The sides of a triangle are 21 cm, 17 cm, and 10 cm. Find its area.
Find the area of an isosceles triangle whose base is 16 cm and the length of each of the equal sides is 10 cm.
The ratio between the areas of two circles is 16 : 9. Find the ratio between their :
(i) radius
(ii) diameters
(iii) circumference
The diameter of every wheel of a car is 63 cm. How much distance will the car move during the 2000 revolutions of its wheel.
A wire is along the boundary of a circle with a radius of 28 cm. If the same wire is bent in the form of a square, find the area of the square formed.
