Type the correct answer in each box. In part E, you proved that any Pythagorean triple can be generated using the identity (x2 − y2)2 + (2xy)2 = (x2 + y2)2. Find the missing x- and y-values and Pythagorean triples using the identity given. Write the triple in parentheses, without spaces between the values, with a comma between values, and in order from least to greatest. x-value y-value Pythagorean Triple
4 3
5 (9,40,41)
3 (27,36,45)
7 5

umumumumum

im not sure

41*67/2=1373.5

step-by-step explanation:

i just used a calculator

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3