*PLEASE HELP*
THE CORRECT ANSWER WILL BE MARKED BRAINLIST
What is the range of possible lengths for the third side of a triangle that has side lengths of 7 and 10?
No idea what the heck to do so your help will be appreciated!!!
Answers
Answer:
the sum of the two smaller sides of any real triangle must be > than the third side--otherwise the triangle is impossible!
Step-by-step explanation:
7+12 means that the third side can be anything less than 19, at the most.
then let's look at the other end of things: woujld 1, 7, 12 be a triangle?
No because 1+7 would not be enough to build a triangle on a base of 12; that "1" would have to be >5.
I say that missing side x has to satisfy this: 5 < x < 19
mark me as brainliest
Let the third side length be x
Now the sum of any two side of triangle should be greater than the third side
=> x < 17
Now x + 10 > 7 , it's obvious as 10 is also greater than 7 so it's good
Now x + 7 should also be greater than 10
=> x + 7 > 10
=> x > 3
Hence range of possible lengths = 4 to 16