Question

the perimeter of a triangle is 950 M and it's side are in the ratio 6 ratio 9 ratio 4 find the length of its side

Answer 1

Given that

Perimeter = 950 m

Ratio of sides = 6 : 9 : 4

So, let the sides be 6x, 9x and 4x

So we know that perimeter = sum of all sides.

=> 6x + 9x + 4x = 950

=> 19x = 950

=> x = 950/19

=> x = 50

Hence, 9x = 9 × 50 = 450 m
6x = 6 × 50 = 300 m
4x = 4 × 50 = 200 m
.



Method #2

Calculate the sum of ratios = 6 + 9 + 4 = 19

Now the first side would be,

$\frac{6}{19} \times 950 \\ \\ = 6 \times 50 = 300$

The second would be

$\frac{9}{19} \times 950 \\ \\ = 9 \times 50 = 450$

Similarly, third would be
$\frac{4}{19} \times 950 \\ \\ = 4 \times 50 \\ \\ = 200$


So the sides are 300, 450, 200 m respectively

Answer 2

we know that sum of all sides of triangle is perimeter=950(here)
ratios = 6:9:4
let ratios=6x,9x,4x
therefore 6x+9x+4x=950
or 19x=950
or x=950/19
x=50
therefore one side =6×50=300
other=9×50=450
other=4×50=200