the perimeter of triangle is 44 CM if its side are in the ratio 9 ratio 7 ratio 6 find its area
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Step-by-step explanation:
Given :- Perimeter of a Triangle = 44cm
It's sides = 9:7:6
Let the sides be 9x , 7x and 6x.
Therefore, Perimeter = a + b + c
9x + 7x + 6x = 44cm
22x = 44 cm
x = 44
-----
22
x = 2
Therefore , 9x = 9 × 2 = 18cm
7x = 7 × 2 = 14cm
and , 6x = 6 × 2 = 12 cm
Now ,
Let's find area of the given triangle.
S = a+b+c
----------
2
S = 18+14+12
-------------
2
S = 44
----
2
S = 22cm
Area of Triangle,
By Heron's Formula,
(Make Pairs of same digits )
(Make Pairs of same digits )
2 \times 2 \times 2 \sqrt{11 \times 2 \times 5}
8 \sqrt{110}
8 \times 10.488
= 83.904cm^2
Step-by-step explanation:
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