Use the Pythagorean Theorem to calculate the missing lengths, as indicated in each of the following items. Enter numerical answers, rounded to the nearest tenth of a unit, in the space provided.
Parallelogram

QUAD
is defined by coordinates

(−2,−4), (6,−4), (11,2), and (3,2)
, respectively. Use the Pythagorean Theorem to find the length of side

UA¯=
a0units.
Parallelogram is defined by the coordinates

(−2,−4), (6,−4), (11,2), and (3,2)
, respectively. Use the Pythagorean Theorem to find the length of the parallelogram’s diagonal

AQ¯=
a1 units
Triangle PIE is defined by the coordinates

(−2,−4),(−6,−12), and (0,4)
, respectively. the Pythagorean Theorem to find the lengths of the sides of the triangle.

IE¯=
a2 units

PI¯=
a3 units

EP¯=
a4 units
A circle with center

D (0,−6)
passes through the point

C (5,−1)
. Use the Pythagorean Theorem to find the length of the circle’s radius,

DC¯=
a5 units.