Math, asked by mammu16, 1 year ago

the sides of a triangle are in the ratio 13 :14 : 15 and its perimeter is 84 find the area of the triangle

Answers

Answered by neerajmodgil85pc43rj
9
Let the sides be 13x, 14x and 15x
Perimeter = Sum of all sides
84 = 13x + 14x + 15x
42x = 84
x = 2
So, the sides are a = 26 cm, b = 28 cm and c = 30 cm
s = p/2 = 84/2 = 42 cm
Area = √s(s - a)(s - b)(s - c)
= √42(42 - 26)(42 - 28)(42 - 30)
= √42*16*14*12
= 4√14*14*36
= 4*14*6
= 336 cm²
So, area of triangle = 336 cm²

Brainliest please:)

neerajmodgil85pc43rj: Brainliest please
Answered by msiddharth213
5

Answer:

Step-by-step explanation:

Let the sides be 13x, 14x and 15x

Perimeter = Sum of all sides

84 = 13x + 14x + 15x

42x = 84

x = 2

So, the sides are a = 26 cm, b = 28 cm and c = 30 cm

s = p/2 = 84/2 = 42 cm

Area = √s(s - a)(s - b)(s - c)

= √42(42 - 26)(42 - 28)(42 - 30)

= √42*16*14*12

= 4√14*14*36

= 4*14*6

= 336 cm²

So, area of triangle = 336 cm²

Brainliest please:

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