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Ksenya-84 [330]
3 years ago
12

triangle STU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than

x, find x and the measure of each.
Mathematics
1 answer:
maks197457 [2]3 years ago
7 0

Answer:

The value of x = 12 and the measure of each side is 23 units.

Step-by-step explanation:

Given:  STU is an equilateral triangle.

ST = 2x -1

SU = 5x - 37

TU = x + 11

Now, as Δ STU is an equilateral triangle, hence all the sides of the triangle are equal.

⇒ ST = SU = TU

or, 2x -1 = 5x - 37 = x + 11

Considering : 2x -1 = 5x - 37 , we get

-1 + 37 = 5x - 2x

or 3x = 36

or, x = 12

Considering : 5x - 37 = x + 11 , we get

5x -x = 11 + 37

or, 4x = 48  or, x = 12

Considering :  x + 11  = 2x -1

or, 2x - 1 =  x + 11

or, x = 12

hence, in all the cases value of x = 12

ST =  2x -1 =  2(12) -1  = 23 units

SU =  5x - 37= 5(12) -1  = 23  units

TU =  x + 11  = 12 = 11  = 23 units

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To answer this question, you should set up and equation before doing anything else. So for this question you 're going to set up two equations.

The first equation is 2x+5y=33

The second equation is 8x+3y=30

Once you do that you have to solve for either X or Y by canceling out the other one. In this problem figuring out the Y is easier because you can cancel the X's more easily than the Y. To cancel a variable, they have to add up to 0.

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