Examine this set of pythagorean triples from part c. look for a pattern that is true for each triple regarding the difference between the three values that make up the triple.

describe this pattern. then see if you can think of another pythagorean triple that doesn’t follow the pattern you just described and that can’t be generated using the identity (x2 − 1)2 + (2x)2 = (x2 + 1)2. explain your findings.

x-value pythagorean triple
3 (6,8,10)
4 (8,15,17)
5 (10,24,26)
6 (12,35,37)

Step-by-step explanation:

The given formula gives rise to the above observations. it tells you ...

This is a special case of Euclid's formula ...

for n=1. Since m and n can be any integer values, there are certainly many other Pythagorean triples that do not match the formula given in the problem. Using n=2, for example, the triples are ...

Some triples from this set of formulas are (5, 12, 13), (20, 21, 29), (28, 45, 53), (36, 77, 85). Triples from this set of formulas will not match directly those from the formulas in the problem statement, but triples from both lists may reduce to the same primitive triple.

answer: f true

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.