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:
Interest rate avertised by borrowers
Step-by-step explanation:
Answer:


Step-by-step explanation:
Given








Required
Which of the options is/are true:


The given triangles, implies that:



By taking each sides of both triangle, one after the other; the possible similar triangles are:

42 - 6 = 36 - 1
36 - 6 = 30 - 2
30 - 6 = 24 - 3
24 - 6 = 18 - 4
18 - 6 = 12 - 5
12 - 6 = 6 - 6
6 - 6 = 0 - 7
42/6 = 7