If two sides of a triangle are 1 and 3, the third side may be?

Hello!

To solve this we can use the Pythagorean Theorem, a²+b²=c², where a and b represent the legs and c represents the hypotenuse. We will solve below.

1²+3²=c²
1+9=10

We have 10=c². We can isolate c by finding the square root of 10.

√10≈3.16

Therefore, the other side could be 3.16.

Note that 3 could also be the hypotenuse. We could solve the equation the other way around to see what the other side could be (it could be the hypotenuse or a leg).

9-1=8
√8≈2.83

Therefore, the length of the third side could be either 3.16 or 2.83.

I hope this helps!

Then just do it (lol)

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step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

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