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
Tanya [424]
3 years ago
15

The length of triangle base is 26. A line, which is parallel to the base divides the triangle into two equal area parts. Find th

e length of the segment between triangle legs.

Mathematics
1 answer:
Yanka [14]3 years ago
7 0

Answer:

Step-by-step explanation:

It is given that the length of triangle base is 26, then let ABC  be the triangle and BC be the base of the triangle=26.Let DE be the parallel line to the base that divides triangle ABC into two equal area parts.

Now, Let AD=a, DB=b, DE=c, AE=d and EC=e, then

Since,  triangle ABC is similar to triangle ADE, thus using basic proportions, we get

\frac{AD}{AB}=\frac{DE}{BC}=\frac{AE}{AC}

\frac{AD}{AD+DB}=\frac{DE}{BC}=\frac{AE}{AE+EC}

\frac{a}{a+b}=\frac{c}{26}=\frac{d}{d+e}

Taking the first two equalities,we get

\frac{a}{a+b}=\frac{c}{26}

c=\frac{26a}{a+b}

Thus, the length of the segment between triangle legs is \frac{26a}{a+b}

You might be interested in
If S=4πr^2 , find the value of S when r = 10 whole1/2. *​
Anestetic [448]

Answer:

Step-by-step explanation:R=14

4 0
3 years ago
Read 2 more answers
If 10 beach balls cost 24.50, how much is 1 beach ball?
aleksley [76]

Answer:

it's 2.45

Step-by-step explanation:

because 24.50 divided by ten is 2.45

6 0
3 years ago
Read 2 more answers
Find f(7) for<br> the function<br> below.<br> F(x)=1/2 x 2^x
Anastasy [175]

64

Step-by-step explanation:

\begin{aligned}\rm f(x)&=\rm\frac{1}{2}\times 2^x\\\rm f(7)&=2^{-1}\times 2^7\\&=2^{-1+7}\\&=2^{7-1}\\&=2^6\\&=2^6\\&=\bf 64\end{aligned}

8 0
2 years ago
For each exponential function, a) write a new function, and b) sketch the corresponding graph (on the same coordinate plane) bas
Luda [366]

A reflection over the y-axis means that "x" will change signs.

A dilation causes the graph to stretch (if the factor is greater than 1) or shrink/compress (if the factor is between 0 and 1). Usually, the instructions will say whether it is a vertical or horizontal stretch (or shrink) so you know which variable is affected. Since it was not specified, I am going to assume that this is both a vertical and a horizontal shrink.

Answer: y = \frac{1}{2}(4^{-2x})

7 0
3 years ago
Which of the following are integer solutions to the inequality below?<br> −2≤×&lt;3
Phoenix [80]

Answer:

-2, - 1, 0, 1, 2

Step-by-step explanation:

The greater than or equal to sign (≤) demonstrates that the unknown is equal to -2 and greater, but is less than 3, so the largest integer solution is 2, not 3

6 0
3 years ago
Other questions:
  • 21/8 as a mixed number
    8·1 answer
  • Translate the expression 5x - 7.
    7·1 answer
  • Pls help will give brainliest and 5star plss help
    14·2 answers
  • T = kPV solve for p. literal equations
    7·2 answers
  • How to do probability?
    8·1 answer
  • Find the 9th term of the geometric sequence <br> 8 , 32 , 128
    5·1 answer
  • -2(5×+8)=14+6× solve for x​
    7·2 answers
  • Solve x <br><br> 6 - 12x = -54
    6·2 answers
  • A fish tank holds 90 quarts of water. If you already put 10 gallons, how many more gallons will it take to fill the tank? 4 quar
    6·1 answer
  • Which hexagons only have pairs of parallel sides?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!