Question

the sides of the triangle are in the ratio 15 : 13 :14 and its perimeter is 168cm find the area of triangle​

Answer 1

Answer:

60cm,52cm,56cm

Step-by-step explanation:

ratio of sides of triangle is =15x:13x:14x

perimeterof the triangke=168cm

15x+14×+13×=168

42×=168

×=4

therefore....

15×4=60cm

13×4=52cm

14×4=56cm

Answer 2

Answer:

Let the sides be a, b, &c

From the question, a:b:c = 15:13:14

=> a = 15k, b = 13k, c = 14k, for some constant 'k'

Perimeter = a + b + c

=> 168 = 15k + 13k + 14k

=> 42k = 168

=> k = 168/42 = 4

So, the sides are: a = 15(4) = 60, b = 13(4) = 52, c = 14(4) = 56

By Heron's formula, area = √[s(s-a)(s-b)(s-c)]

s = perimeter/2 = 168/2 = 84

=> Area = √[84(84-60)(84-52)(84-56)]

= √[1806336]

= 1344

Therefore, the area is 1344cm²