If H is the circumcenter, then each of EH, FH, and GH are perpendicular bisectors of the legs BC, CD, and DB, respectively. So, for instance, EH cuts BC in half so that BE and EC have the same length.
Also, BH, CH, and DH are radii to the circumcircle of the triangle, so they all have the same length.
(1) CD = CF + FD = 2 • FD = 2 • 32 = 64
(2) CE = BE = 26
(3) HD = HC = 33
(4) GD = 1/2 • BD = 1/2 • 58 = 29
(5) By the Pythagorean theorem,
HG² + GD² = HD²
so
HG = √(33² - 29²) = 2 √(62)
(6) Similar to (5); by the Pythagorean theorem,
HF² + FD² = HD²
so
HF = √(33² - 32²) = √(65)
Answer:
Rectangles and rhombuses are quadrilateral, and they have opposite sides that are parallel and congruent. Opposite angles in rectangles and rhombuses are also equal, since the opposite sides are parallel.
<span> By definition of </span>prime<span>! An integer greater than </span>one<span> is called a </span>prime number<span> if its only positive divisors (factors) are </span>one<span> and itself.</span>
Answer:
If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
Step-by-step explanation: