1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BartSMP [9]
3 years ago
5

Solve this problem thanks

Mathematics
2 answers:
jasenka [17]3 years ago
6 0

The triangles ABD, ADC and ABC are similar (AA stands for "angle, angle" and means that the triangles have two of their angles equal).

If two triangles have two of their angles equal, the triangles are similar.

Therefore the sides of triangles are in proportion.


\dfrac{c}{16}=\dfrac{9}{c}


cross multiply


c\cdot c=16\cdot9\\\\c^2=144\to c=\sqrt{144}\\\\c=12


\dfrac{a}{9+16}=\dfrac{16}{a}


cross multiply


a\cdot a=25\cdot16\\\\a^2=400\to a=\sqrt{400}\to a=20


The length of side b we can be calculated using the Pythagorean theorem:


b^2+20^2=(9+16)^2\\\\b^2+400=25^2\\\\b^2+400=625\ \ \ |-400\\\\b^2=225\to b=\sqrt{225}\to b=15


Answer:

a = 20; b = 15; c = 12

vovikov84 [41]3 years ago
5 0

The three missing lengths are the left hypotenuse, x, the middle altitude, y, and the right hypotenuse, z.


9/y = y/16


y^2 = 9 * 16


y^2 = 144


y = 12


9^2 + 12^2 = x^2


x^2 = 225


x = 15


12^2 + 16^2 = z^2


z^2 = 400


z = 20


From left to right, the sides measure 15, 12, and 20 units.

You might be interested in
An election ballot asks voters to se4five city commissioners from a group of fifteen candidates. In how many wsys can this be do
svp [43]

That's "15 choose 5"

\displaystyle{15 \choose 5} = \dfrac{15! }{5! 10!} = \dfrac{15 \cdot 14 \cdot 13 \cdot 12 \cdot 11}{5 \cdot 4 \cdot 3 \cdot 2 \cdot 1} = (15/(5(3))(14/2)(13)(12/4)(11)\\\\= 7(13)(3)(11)=231(13)=3003

Answer: 3003 ways

8 0
3 years ago
ASAP please help me I need this quick <br> The question and answers are in the picture
7nadin3 [17]
Thé correct answer is the third one

5 0
3 years ago
Solve the equation: <br> 2x + B= C<br><br> X=
Angelina_Jolie [31]
Add (-2X) to both sides:
2X + B + (-2X) = C + (-2X)
If we (rearrange) it into B + 2X + (-2X) = C + (-2X)
B + 2X - 2X = C + (-2X)
Since +2X - 2X = 0
B + 0 = C + (-2X)
B = C + (-2X)
B = C - 2X
6 0
3 years ago
Morgan obtains a loan for $5,700. How much money (in dollars) does she actually receive assuming a loan fee of 0.95%? (Enter an
sergeinik [125]

Answer: $5645.85

Step-by-step explanation: a loan fee of $54.15 was deducted

4 0
3 years ago
Read 2 more answers
I need to answer this question
Ksivusya [100]
3/4 x 2/3 = 6/12 6/12=1/2
So the square root of 5 (C.)
5 0
2 years ago
Other questions:
  • Write the first four terms of a geometric sequence with a first term of 81 and a ratio of 1/3
    12·2 answers
  • How do you write 36.14 in expanded form
    9·2 answers
  • Why is writing rational numbers as a fraction of as decimal useful?
    8·2 answers
  • jackson is going to the movies. he has to pay $7 for his ticket and $2 for each box of candy he buys. write an expression that r
    12·2 answers
  • Find the value of 216m³ - 8n³ if 6m - 2n=0 and mn=12​
    8·1 answer
  • 30 points!!!
    13·1 answer
  • Determine the equations that have a solution of x = 0.5? Select the two correct
    10·1 answer
  • Please Please tell me if I did this right or not, if you know how to do it. Please tell me the correct answers if they are wrong
    11·2 answers
  • 1. Which figure comes next in the pattern below? ​
    7·1 answer
  • Shape ABCD is an arrowhead.<br> Use the X<br> tool and mark point D<br> accurately on the graph.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!