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
Vlad1618 [11]
3 years ago
13

The extensions of the legs AB and CD of a trapezoid ABCD intersect at point E. Find the lengths of the altitude of △AED drawn to

the base AD, if BC=7cm, AD=21cm, and the length of an altitude of a trapezoid is 3cm.

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

let's call G the intersection point of EF & BC.

according to the thales' theorem:

\frac{eg}{ef}  =  \frac{bc}{ad}

and EF= EG+GF=EG+3

\frac{eg}{eg + 3}  =  \frac{7}{21}

21eg = 7eg + 21

14eg = 21

eg =  \frac{21}{14}  =  \frac{3}{2}  = 1.5

length of the altitude of △AED=EF

EF=EG+GF=1.5+3=4.5

You might be interested in
Find the value of x. <br> A. 2 <br> B. 3 <br> C. 4 <br> D. 5
masya89 [10]
The correct answer is three.
7 0
3 years ago
Rebecca leaves home to go to work. She walks the first 5 minutes and then increases her speed until she gets to work. Which grap
VashaNatasha [74]

Answer:

Step-by-step explanation:

I believe that this is the answer.

8 0
2 years ago
Read 2 more answers
The sum of two numbers is 35. The greater number is 4 less than twice the lesser number. What is the greater number?
zubka84 [21]

Answer: x=13

Step-by-step explanation: ?+?=35

(2x-4)+x=35

3x-4=35

3x=35+4

3x=39

x=13

5 0
3 years ago
Simplify this expression. (√2 + √3)(√5 - √7)
Stels [109]
\sqrt{10}-\sqrt{14}+\sqrt{15}-\sqrt{21}
4 0
3 years ago
Read 2 more answers
What is the expanded form for 33,169
stealth61 [152]
33,169
= 30,000+ 3,000+ 100+ 60+ 9.

The expanded form for 33,169 is 30,000+ 3,000+ 100+ 60+ 9~
3 0
3 years ago
Read 2 more answers
Other questions:
  • Why is the APR considered the most important factor to be mindful of in a car loan?
    10·2 answers
  • Given below is the odd-number function. Which of the following are equal to O(8)? 
    15·2 answers
  • Draw a square that has a circumference of 12 cm.
    14·1 answer
  • marcella's house costs $120,000. she paid a 20% down payment and then borrowed the rest at 6.5% for 20 years how much will she b
    9·1 answer
  • Bought to video games for a total of $55 their prices have a difference of $15
    6·1 answer
  • Answer please thank you
    9·2 answers
  • Please help!!<br> Will mark brainliest
    9·1 answer
  • Can somebody solve 2 and 3 for me?
    9·2 answers
  • Can someone please help with this question?
    5·1 answer
  • Please help me to finish the table! D:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!