Answered

Join the IDNLearn.com community and start getting the answers you need today. Discover the information you need from our experienced professionals who provide accurate and reliable answers to all your questions.

The lengths of the sides of an equilateral triangle are 3(x + )cm, (5x +2y-1) cm and 5x +1 Cm Find the side length of the triangle. ​

Sagot :

26wannerwyatidn

Answer:

Correct option is A

Since it is an equilateral triangle, the lengths of the sides are equal

So, x+3 y=3 x+2 y−2=4 x+

2

1

​

y+1

x+3 y=3 x+2 y−2

y=2 x−2

2 x−y=2 ...(1)

Also, 4 x+

2

1

y+1=x+3 y

8 x+y+2=2 x+6 y

6 x+2=5 y

6 x−5 y=−2   ...(2)

Multiplying e q(1) by  5 we get,

10 x−5 y=10      ...(3)

Subtracting e q(2) from e q(3) we get,

4 x=12⇒x=3

y=2 x−2=4

The length of one side of equilateral triangle = x+3 y =3+3(4)=15 units

Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.