find the area of the triangle whose perimeter is 30 cm and it's sides are in the ratio 1:3:2
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Answer:
A=?cm²
a = Side
b = Base
P = Perimeter
Answered by
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Given -
Perimeter 30 cm
Sum of their ratios = 1 x + 3 x + 2x
Perimeter of triangle = 30
x = 30 / 6
x =5
1 x = 1 × 5 = 5 cm
3 x = 3 × 5 = 15 cm
2x = 2 × 5 = 10 cm
Suppose ABC is a triangle
Side A = 5cm
B = 15 cm
C = 10 cm
All side of triangle are unequal therefore ABC is an Scalene Triangle
Area of Scalene Triangle
Area Calculated By Heron' s Formula
s = a + b + c
----------------
2
s = 5 + 10 + 15
-------------------
2
s = 30
------
2
s = 15 cm
________________________
Area of ABC = √ s ( s - a ) ( s - b ) ( s - c )
___________________________
= √ 15 ( 15 - 5 ) ( 15 - 15 ) ( 15 - 10 )
__________
= √ 15 ( 10 ) ( 5 )
_________
= √ 15 × 50
_____
= √ 750
= 27.38 cm
I Hope this helps U
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