I have to find out what (x) equals. it shows me two triangles. ABC and XYZ. XYZ's sides are X-6 Y-10 and Z-8. ABC's sides are A-(x) B-25 and nothing for C. i need to find the value of (x). I'm expelled from school, and I get taught at the library everyday by my tutor so I can pass 7th grade. Today is the first day we started working on this kind of stuff. And i totally forgot how to do it, I looked allover the internet for help, but I couldn't find any. And it's harder now for me kinda because i don't have my teacher to explain everything, she goes through it so quickly. and sher has my practice papers so idk what to do. please help!!!(:
No problem! I'll be happy to help you understand how to solve this problem. Let's break it down step by step.
First, let's label the sides of triangle XYZ and triangle ABC for easier reference:
Triangle XYZ:
Side X = X - 6
Side Y = Y - 10
Side Z = Z - 8
Triangle ABC:
Side A = (x)
Side B = 25
Now, let's focus on finding the value of (x). To do that, we'll use a concept called the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In triangle ABC, we have sides A and B. Since we don't have the length of side C, we can use the Triangle Inequality Theorem to find out what the possible range of values for (x) could be.
According to the theorem, we have the following inequality:
A + B > C (sum of two sides must be greater than the third side)
Substituting the values we have:
(x) + 25 > C
Since we know that side C is greater than side Z in triangle XYZ, we can substitute C with Z - 8:
(x) + 25 > Z - 8
Now, let's find the value of Z. We know that Z is the longest side of triangle XYZ, so it will be greater than both X - 6 and Y - 10.
Given: X - 6, Y - 10, Z - 8
We can solve for Z by adding 6 and 10 to get the minimum value of Z:
Z > X - 6 + 6 + Y - 10 + 10
Z > X + Y - 6 + 10
Now we can substitute the value of Z back into the inequality:
(x) + 25 > X + Y - 6 + 10 - 8
Simplifying further, we get:
(x) + 25 > X + Y - 4
As a final step, let's isolate (x) by subtracting 25 from both sides of the inequality:
(x) > X + Y - 4 - 25
(x) > X + Y - 29
So, the value of (x) is greater than X + Y - 29.
To determine the exact value of (x), you will need more information or constraints from the problem or additional equations.
I hope this explanation helps you understand how to approach this problem. If you have any further questions, feel free to ask!