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
erma4kov [3.2K]
3 years ago
11

In the figure shown, ABC is a right triangle with side lengths a, b, and c, and CD is an altitude to side AB. The side lengths o

f triangle ACD are b, h, and r, and the side lengths of triangle CBD are a, s, and h.
Which proportions are true?


A) c/a = a/s and c/b = b/r


B) c/a = s/a and c/b = r/b


C) c/b = a/s and c/a = b/r


D) c/b = s/a and c/a = r/b

Mathematics
1 answer:
ycow [4]3 years ago
5 0

Answer:

A

Step-by-step explanation:

In the figure shown, ABC is a right triangle with side lengths a, b, and c, and CD is an altitude to side AB. This altitude divides the triangle into two right triangles ADC and BDC. In these triangles,

  • \angle CBD\cong \angle ACD\cong \angle CBA
  • \angle DCB\cong \angle DAC\cong \angle BAC

So,

\triangle ABC\sim \triangle CBD\sim \triangle ACD

1. From the similarity \triangle ABC\sim \triangle CBD, you have

\dfrac{AB}{BC}=\dfrac{BC}{BD}\\ \\\dfrac{c}{a}=\dfrac{a}{s}

2. From the similarity \triangle ABC\sim \triangle ACD, you have

\dfrac{AB}{AC}=\dfrac{AC}{AD}\\ \\\dfrac{c}{b}=\dfrac{b}{r}

Hence, option A is true

You might be interested in
One leg of a right triangle measures 6 inches. The remaining leg measures 6 sq 3 inches. What is the measure of the angle opposi
Setler79 [48]
“6 sq 3 inches “ ? Explain it briefly I’m trying to understand
7 0
3 years ago
Use a trigonometric function to find the value of x
Alex17521 [72]

(180-30)/2 would be the equation and the answer is 150/2

5 0
3 years ago
A hawk is sitting on the branch of a tree Question Image ft above the ground. It flies 28.3 ft higher in the air, drops down by
nikklg [1K]
A hawk is sitting on the branch of a tree Question Image ft above the ground. It flies 28.3 ft higher in the air, drops down by 8.2 ft, and then a short time later flies down another Question Image ft onto the branch of another tree. Write an expression that represents the change in the bird’s height. Which of the two branches is higher above the ground?
Please help me asap!
Will mark as Brainliest for first correct answer.
7 0
3 years ago
Use a calculator to find the r-value of these data. Round the value to three decimal places.
Sindrei [870]

Answer:

-0.985

Step-by-step explanation:

Refer to the image below for explanation:

4 0
2 years ago
Read 2 more answers
What is the expanded form for 2.059
Artyom0805 [142]
   2+      0.0+      0.05+ 0.009okay so you just have to add the numbers. so you add 2+0.0+0.5+0.009. then you will get you answer. i hope this helps!!!!
3 0
3 years ago
Other questions:
  • 1,000.00 at 4.5% interest for 2 years
    6·1 answer
  • Plz help me thank you 15 points plz help me fast thank you so much plz only if you can understand I really need help
    7·2 answers
  • A line is perpendicular to y = -1/2x-1
    12·1 answer
  • A quarterback is sacked for a loss of 4 yards. On the next play, his team loses 10 yards. Then the team gains 12 yards on the th
    10·1 answer
  • What is the area of the figure?<br>​
    7·2 answers
  • Using appropriate properties find
    5·1 answer
  • Given g(x) = 3x - 4, find g(1).​
    8·2 answers
  • 3. Using the distributive property, write an equivalent expression. *<br> (5 Points)<br> 8(3x - 5)
    11·2 answers
  • Complete the proof for me please, I need help
    5·1 answer
  • Determine if (2, -1) is a solution to the system of equations:
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!