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