Question

sides of a triangle are in the ratio of 17:25:12and it's perimeter is 405 cm .find it ? please help me. ​

Answer 1

Let the sides of triangle are 17x , 25x & 12x.

Perimeter = 405 cm

As we know, P of ∆ = a + b + c

⟹ 17x + 25x + 12x = 54x

$\mathcal{ \underline \blue{According \: to \: Question -}}$

Perimeter of Triangle ∆ = 405 cm

⟹ 17x + 25x + 12x = 405 cm

⟹ 54x = 405 cm

⟹ x = $\frac{\cancel{405}^{\cancel{ \: \:45}^{\: \: 15}}}{\cancel{54}^{\: \: \cancel{6}^{\:\: 2}}}$

$\blue \therefore$ x = $\frac{15}{2}$

Now,

17x = 17 × $\frac{15}{2}$ = 127.5 cm

25x = 25 × $\frac{15}{2}$ = 187.5 cm

12x = $\cancel{12}^{6} \times \frac{15}{\cancel2}$ = 90 cm

$\large\underline\red{Answer}$

Hence the three sides are ; 127.5 cm , 187.5 cm & 90 cm

If you want to check :-

Add the three sides = 90 + 127.5 + 187.5 (cm)

= 405 cm

Hope this helps you :)

Answer 2

Answer:

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