menu
Qammunity.org
Login
Register
My account
Edit my Profile
Private messages
My favorites
HELP ASAP How do I find the answer to this
Ask a Question
Questions
Unanswered
Tags
Categories
Ask a Question
HELP ASAP How do I find the answer to this
asked
Mar 10, 2019
36.9k
views
1
vote
HELP ASAP How do I find the answer to this
Mathematics
college
Victrnava
asked
by
Victrnava
7.9k
points
answer
comment
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
2
Answers
5
votes
AC=25
Triangle BCD:
BD=h
CD=16
Triangle ABD:
BD=h
AD=AC-CD=25-16→AD=9
Suppose <CBD is x and the <ABD is y
x+y=90°
The <BCD must be equal to y; and the <BAD must be equal to x, then the triangles ABD and BCD are similars, because they have two congruent angles (x and y), so theirs sides must be proportionals:
Opposite to angle x / opposite to angle y
Triangle ABD Triangle BCD
BD / AD = CD / BD
Replacing values:
h/9=16/h
Solving for h. Cross multiplication:
(h)(h)=(9)(16)
h^(1+1)=144
h^2=144
sqrt(h^2)=sqrt(144)
h=12
Answer: The value of h in the figure is 12
FlyingTeller
answered
Mar 12, 2019
by
FlyingTeller
8.6k
points
ask related question
comment
share this
0 Comments
Please
log in
or
register
to add a comment.
7
votes
Since triangle ABD and triangle BCD are similar traingles, we can establish a proportion between the lengths of corresponding sides:
Notice that we know for our problem that
. Also, we can find the length of AD by subtracting CD from AC:
Now we can replace the values in our proportion:
Solving for
:
We can conclude that the correct answer is:
B. 12
Gladed
answered
Mar 16, 2019
by
Gladed
9.0k
points
ask related question
comment
share this
0 Comments
Please
log in
or
register
to add a comment.
← Prev Question
Next Question →
No related questions found
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.
9.4m
questions
12.2m
answers
Other Questions
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Mr. Jacob is 55 years old and tony is 7 years old. in how many years will mr. Jacobs be 4 times as old as Tony
Estimate 49% of 162. Use mental math to calculate 49% of 162. ???
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy
Search Qammunity.org