Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

WILL MARK BRAINLIEST! THANK YOUUUU
An equilateral triangle has a side length of 40.

Another side of the same triangle measures 3x​ + y.
The third side of the same triangle measures 4x​ - 2y.
What are the values of x and y that would keep the triangle​ equilateral?

WILL MARK BRAINLIEST THANK YOUUUU An Equilateral Triangle Has A Side Length Of 40 Another Side Of The Same Triangle Measures 3x Y The Third Side Of The Same Tri class=

Sagot :

DWRead

Answer:

x=12, y=4

Step-by-step explanation:

All the sides are the same length.

3x+y = 40

4x-2y = 40

Eliminate y terms: divide second equation by 2 and add to first equation

2x-y = 20

3x+y = 40

---------------

5x = 60

x = 12

y = 40-3x = 4

Answer:

We know that all sides of the equilateral triangle is equal.

Given :---

An equilateral triangle has a side length of 40.

Another side of the same triangle measures

3x + y.

The third side of the same triangle measures

4x - 2y.

According to the above problem, the equation are

3x+y=40........(i) and 4x-2y=40.........(ii)

Divide the equation (ii) by 2, we get

2x-y=20..........(iii)

Now solving for x and y we get,

3x+y=40.......(i)

2x-y=20........(iii)

5x =60

x=60/5

x=12

Putting the value of x in equation in equation (iii) we get

24-y=20

y=24-20

y=4

The values of x and y that would keep the triangle equilateral are 12 and 4 respectively.

Hence, the value of x is 12 and y is 4.