Answer:
AH = 1 or 4
CH = 4 or 1
Step-by-step explanation:
An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...
AH/BH = BH/CH
AH·CH = BH²
The problem statement tells us AH + CH = AC = 5, so we can write
AH·(5 -AH) = BH²
AH·(5 -AH) = 2² = 4
This gives us the quadratic ...
AH² -5AH +4 = 0 . . . . in standard form
(AH -4)(AH -1) = 0 . . . . factored
This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.
Answer:
5/2, 2.6, 1 + sqrt(3), sqrt(8)
Step-by-step explanation:
Use a calculator:
sqrt(8) = 2.83
5/2 = 2.5
2.6 = 2.6
1 + sqrt(3) = 2.73
Answer:
5/2, 2.6, 1 + sqrt(3), sqrt(8)
Answer:
j + 47 = 53
Step-by-step explanation:
Answer:
According to Angle Bisector Theorem, if Ray YZ is an angle bisector, then MZ and NZ are congruent.
EH= 23. It is shown that ray FH bisects EFG, EF and EH are perpendicular, FG and HG are perpendicular. Then EH and GH are congruent. Therefore since GH= 23, then EH= 23