Math, asked by gulshsnkumar008, 9 months ago

Two equal sides of a triangle are each 5 metres less than twice the third side. If the
perimeter of the triangle is 55 metres, find the lengths of its sides.​

Answers

Answered by quadirshaik166
1

I can't understand the question sry

pls can u explain me in comments

Answered by Xxunkn0wnxX
52

Answer:

Sides of triangle are 21 m, 21m and 13 m.

Step-by-step explanation:

Given :-

Perimeter of triangle is 55 m.

To find :-

Length of its side.

Solution :-

Let, Measure of third side be x m.

And, Measure of other two equal sides be 2x - 5 m. [Equal sides of triangle are each 5 m less than twice the third side]

We know,

Perimeter of triangle = Sum of all sides.

So, Put the values :

 \rightarrow Perimeter = 2x - 5 + 2x - 5 + x

 \rightarrow 55 = 2x - 5 + 2x - 5 + x

 \rightarrow 55 = 5x - 10

 \rightarrow 55 + 10 = 5x

 \rightarrow 65 = 5x

 \rightarrow 65/5 = x

 \rightarrow x = 13

Now,

Sides :-

Two equal sides = 2x - 5 = 2×13 - 5 = 21. Thus, Measure of two equal side is 21 m.

Third side = x = 13. So, Measure of third side is 13 m.

Therefore,

Sides of triangle are 21 m, 21 m and 13 m.

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