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:
Option A.
Step-by-step explanation:
-22 is a number that is less than-18. This automatically eliminates option B.
And also, the way that option A. moves is -22, -20, -19, -18, 18, 30. This is correct because -18 is closer to 18 than -22 is. -22 is farther to the left than -18 is.
Hope this helps! :)
Answer:
146°
Step-by-step explanation:
The measure of the arc EF is equal to the angle subtended at the centre.
That is EF = 146°
Answer:3/7 is correct
Step-by-step explanation:
Answer:
2x+8 and 2(4+x)
Step-by-step explanation:
Its 2x+8 because all you have to do is distribute the 2. So 2 times x is 2x and 2 times 4 is 8. You can just rearrange it for 2(4+x)
