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
arlik [135]
3 years ago
6

In the figure below, AB=AE, AC=AD and AP is perpendicular to BE. Prove that BC=DE.

Mathematics
1 answer:
NISA [10]3 years ago
5 0

Step-by-step explanation:

1) In the figure, as AB is equal to AE, ABE is an equilateral triangle.

As AP is perpendicular to BE

=> AP is the height of the triangle ABE.

In an equilateral triangle, the median and the height is the same, so that AP is also the median of the triangle.

=> P is the midpoint of BE

=> PE = PB

2) In the figure, as AC = AD, so that ACD is an equilateral triangle.

As AP is perpendicular to BE,  so that it is perpendicular to CD as well

=> AP is the height of the triangle ACD

In an equilateral triangle, the median and the height is the same, so that AP is also the median of the triangle ACD.

=> P is the midpoint of CD

=> PC = PD

We have:

+) PB = PE

+) PC = PD

=> PB - PC = PE - PD => BC = DE

You might be interested in
By the Triangle Inequality Theorem, If two sides of a triangle have lengths of 3 and 7, what are all the possible lengths of the
Charra [1.4K]
If you do
7+3>?
3+?>7
7+?>3 
P.S: look at example

7 0
3 years ago
Read 2 more answers
Christopher spends a total of $235.94. He
cluponka [151]

Answer:

He bought 6 sweaters

Step-by-step explanation:

235.94-80.00=155.94

155.94/25.99=6

6 0
3 years ago
Q. Find the measure of QR
Andreas93 [3]

Answer: 22

Step-by-step explanation:

Since U is the midpoint of P and R, and S is the midpoint of P and Q, SU must be a midsegment.

By the midsegment theorem, SU is 1/2 the value of QR. Therefore QW = SU*2 = 11*2 = 22.

8 0
2 years ago
14 and 15, please :p explanation would also be appreciated!!
liraira [26]
14. B (4, -2)
15. I am not exactly sure about this one but I would say either A or B.
8 0
3 years ago
Simplify each radical
const2013 [10]

Answer:

AECG

Step-by-step explanation:

1

sqrt(49) = 7

sqrt(a^2) = a

sqrt(b^2) = b

For every two variables you can take one out from under the root sign and thorough the other one away.

Answer: E

2

sqrt(36) = 6

sqrt(a^2) = a  See comment for 1.

b must be left where it is. There is only 1 of them.

6asqrt(b)

Answer: A

3. sqrt(25) = 5

sqrt(b^2) = b

a must be left alone.  There's only 1 of them.

5b sqrt(a)

answer: C

4

sqrt(81 a b)

sqrt(81) = 9

The variables must be left alone. There's only1 of them

9 sqrt(ab)

Answer G

8 0
2 years ago
Other questions:
  • What is 17.318 rounded to the nearest hundredth
    11·2 answers
  • Find part "b". (fillertextfillertextfillertext)
    10·2 answers
  • Evaluate.<br><br> 8d - 4 / 3 + c. when d = 5 and c = 6.
    5·1 answer
  • Find the sum.<br> 185<br> + 66
    5·2 answers
  • If the shirts cost $20 each how much were each of the pants?
    10·1 answer
  • Evaluate 3|-4|<br> 2<br> -2<br> 1
    5·1 answer
  • 3h-5h+11=17 Solve Equation.
    5·1 answer
  • I’ll mark brainlest! pls help :(
    9·1 answer
  • I need help pleaseeee!!!!!
    6·2 answers
  • Given the original statement "lf a number is negative, the additive inverse is positive," what is true
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!