Question

In the diagram below, BC is an altitude of ABD. What is the length of CD ? If necessary, round your answer to two decimal places.

Answer 1

@jes230

Answer 2

man dude u posted this before and i still dont get it i am sorry i guess i havnt learned it yet. :( sorry man

Answer 3

its cool bro

Answer 4

The right angle altitude theorem (part 1)
In a right triangle, the length of the altitude drawn to the hypotenuse is the geometric mean of the lengths of the segments of the hypotenuse.

Answer 5

44/32 = 32/CD

Answer 6

do i cross multiply ?

Answer 7

yes

Answer 8

is this correct?

Answer 9

@mathstudent55

Answer 10

i got 23.30 after rounding is that correct?

Answer 11

Answer is 23.27272727...
You want 2 decimal places; that means
23.27
Since the digit after 7 is 2 (which is less than 5), you keep the 7 as 7.
Final answer is 23.27

Answer 12

so i dont change 2 because 7 is grater then five?

Answer 13

No. The 2 is not the last digit you keep, so there is no reason to change it whether the digit after it is more or less than 5.
When you round a number, you cut off all digits after the last one you want to keep.
Then there is a question wehether you increase the last digit you keep by one. This only affects the last digit you keep.

Answer 14

ooo thank so much

Answer 15

Example:
Round 2.347589 to the nearest thousandth
Step 1: Cut off all digits after the thousandths digit (which is the 3rd digit after the decimal point): 2.347
Step 2: Now look at the 4th digit in original number. It is a 5. Since 5 is included in 5 or larger, the last digit you keep goes up 1 to 8, so the rounded number is: 2.348

Answer 16

ooo alright i get it now

Answer 17

Example 2:
Round 2.347589 to the nearest tenth
Step 1: Cut off all digits after the tenths digit (which is the 1st digit after the decimal point): 2.3
Step 2: Now look at the 2nd digit in original number. It is a 4. Since 4 is less than 5, you are done. Answer is 2.3

Answer 18

you are welcome