asked 164k views
3 votes
The measures of two of the sides of an equilateral triangle are 3x + 15 in. and 7x – 5 in. What is the measure of the third side in inches?

asked
User Rebra
by
8.5k points

2 Answers

5 votes

Answer:

30

Explanation:

answered
User Kare Nuorteva
by
8.0k points
5 votes

Answer: 30 in.


Explanation:

If it's an equilateral triangle, all sides are the same length. Therefore

3x + 15 = 7x - 5

x = 5

After figuring out x = 5, replace the x with five and solve the equation.

3(5) + 15 = 30

7(5) - 5 = 30

Now that we know the length of two sides, we can state that the third side-length also equals 30 inches because it is an equilateral triangle, meaning all sides are congruent/ the same.

answered
User Anchit Mittal
by
8.1k points

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