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
skad [1K]
2 years ago
14

ABC with altitude \overline{BD}

Mathematics
1 answer:
just olya [345]2 years ago
8 0

The length of \overline{AC} is given by the relationship between the similar triangles

ΔABD and ΔBDC.

  • \overline{AC} = <u>80</u>

Reasons:

The given parameters are;

The altitude of triangle ΔABD = \overline {BD}

The hypotenuse of formed right triangle = \overline {AC}

The length of AD = 8

Length of BD = 24

Whereby  ΔABD is a right triangle

We have;

ΔABD is similar to ΔBDC

Therefore, by similar triangle proportional sides relationship, we have;

\displaystyle \frac{\overline{AD}}{\overline{BD}}  = \mathbf{ \frac{\overline{BD}}{\overline{DC}}}

Which gives;

\overline{BD}^2 = \mathbf{\overline{DC} \times \overline{AD}}

Therefore;

\displaystyle \overline{DC} = \mathbf{\frac{\overline{BD}^2}{\overline {AD}}}

\displaystyle \overline{DC} = \frac{24^2}{8} = \mathbf{72}

\overline{AC} = \overline{DC} + \overline{AD}

Which gives;

\overline{AC} = 72 + 8 =\mathbf{ 80}

Learn more about similar triangles here:

brainly.com/question/4618367

You might be interested in
What is 5% of 3200? Plz help bro​
likoan [24]
5% of 3200 is 160......
7 0
2 years ago
A triangle has a side lengths of 3 and 8. The diagonal has a length of 11. Can this be a right triangle? Show your work to prove
Grace [21]
If the triangle is a right triangle, the pythagorean theorem would work
since it doesn’t, the triangle is NOT A RIGHT TRIANGLE

(see attached pic for work :))

6 0
3 years ago
Find the surface area of the right triangular prism (above) using its net (below). <br> units
8_murik_8 [283]

Answer:

120 units^2

Step-by-step explanation:

(12)(5)(0.5)(2) + (12)(2) + (13)(2) + (5)(2) = 120 units^2

6 0
3 years ago
All of the following expressions have the same value, except . . .
miss Akunina [59]

Answer: -3/7- 4/7

Step-by-step explanation:

7 0
3 years ago
If a phone cost $224 what would it cost if there was a 7% sales tax.
Annette [7]

Answer:

<u>$239.68</u>

Step-by-step explanation:

<u>Given</u>

  • Cost = $224
  • Sales Tax = 7%

<u>Solving</u>

  • Cost w/ Tax = Cost (1 + Tax)
  • Cost w/ Tax = 224 (1 + 0.07)
  • Cost w/ Tax = 224 * 1.07
  • Cost w/ Tax = <u>$239.68</u>
5 0
2 years ago
Other questions:
  • Help please thanks multiple choice..........
    12·2 answers
  • Hi, I’m really struggling with this problem and would love some help!
    13·1 answer
  • Solve all these to be marked Brainiest and 30 pts
    7·1 answer
  • Tanya purchased 4 hammers for $11.79 each and 7 screwdrivers for $6.65 each. Write an expression for the total cost of the tools
    8·2 answers
  • What are some of the best apps for school? Why?
    5·1 answer
  • Lynette has a metal doorstop with the dimensions shown. Each cubic centimeter of the metal in the doorstop has a mass of about 8
    5·2 answers
  • How are the properties of reflection used to<br> transform a figure?
    11·2 answers
  • A nearby school for wizardry is larger. They have 14 times as many students.
    5·1 answer
  • Help please and thanks
    15·1 answer
  • Here is Ibrahim's recipe for breakfast.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!