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
lara31 [8.8K]
1 year ago
9

What other information do you need to prove ΔABE is congruent to ΔEDA by SSS?

Mathematics
1 answer:
Stels [109]1 year ago
7 0

To prove ΔABE is congruent to ΔEDA by SSS we need that EAC should be an equilateral triangle.

What is an equilateral triangle?

A triangle is said to be equilateral if each of its three sides is the same length. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

Here, we have

AEC is a triangle in which B∈ AC and D∈ EC

Such that,

∠ABE = 90°,

∠ADE = 90°,

Also, BC = CD

Now, we have to prove that :

Δ ABE is congruent to Δ EDA

Proof :

If EAC is an equilateral triangle,

By the property of an equilateral triangle,

EA = AC = EC

If AC = EC

AB + BC = ED + CD

AB + CD = ED + CD

AB = ED

Also, AE = AE ( common segment )

Now, if in two right triangles hypotenuse are equal and any corresponding legs are equal,

Then, the other legs must be equal,

That is, BE = DA,

Hence, by the SSS postulate of congruence,

Δ ABE ≅ Δ EDA

Hence, to prove ΔABE is congruent to ΔEDA by SSS we need that EAC should be an equilateral triangle.

To learn more about the equilateral triangle from the given link

brainly.com/question/15294703

#SPJ4

You might be interested in
Tommy is making a greeting card on his computer. He can choose 1 of 4 backgrounds, 1 of 7 photos, and 1 of 6 text colors. How ma
Dahasolnce [82]
Answer is D. 168

4 x 7= 28
28 x 6= 168
5 0
3 years ago
Read 2 more answers
The coordinates of the endpoints of AB are A(−2, −2) and B(1, 3). Which measurement is closest to the length of AB in units?
nydimaria [60]

Answer:

Step-by-step explanation:

this person got it wrong, if your on USATESTPREP its 5,8 your welcome$$$

3 0
3 years ago
Read 2 more answers
Jack was 10 years older than priscilla together their ages totaled 170 years what were their ages
Allisa [31]
Are there any answers to choose from?

So if Jack was 10 years older than Priscilla and their ages combined equals to 170. I believe Priscilla is 80 and Jack was 90 cause 90+80=170
5 0
3 years ago
Find the next two<br> numbers in the<br> sequence. What is<br> the rule?<br> 100, 25, 50, 12:5, 25,
Tema [17]

Answer:

6.25, 12.5

Step-by-step explanation:

The sequence goes divide by 4 then multiply by 2

6 0
3 years ago
Y = 7/8u + 9, solve for u
vivado [14]

Answer:

u=\frac{8y-72}{7}

Step-by-step explanation:

Flip the equation.

\frac{7}{8}u+9=y

Add -9 to both sides

\frac{7}{8}u+9(-9)=y(-9)

\frac{7}{8}u=y-9

Divide both sides by 7/8

u=\frac{8y-72}{7}

hope this helps

3 0
3 years ago
Other questions:
  • What percent of 125 is 5
    7·2 answers
  • What percentage of boys ate grapes
    9·2 answers
  • 2. Twice a certain number is doubled. The resulting number is four times the original number.
    10·1 answer
  • Convert the mixed number to a decimal<br> 4 6/25<br><br> A.4.12<br> B.4.24<br> C.4.25<br> D.4.625
    6·1 answer
  • For what value of the variable will the expression 3b+7 be equal to 16
    9·2 answers
  • 39 ft/min is how many yd/s
    14·2 answers
  • Solve the system by elimination (show all work)
    14·1 answer
  • What is the equation of a line that passes through the points (3,6) and (8,4)?
    8·1 answer
  • What is a correct name for ange 5?
    15·1 answer
  • If A ={2,4,6,8} B = {5,7,1,9}. L et R be the relation is less from A to B. Find domain (R) AND RANGE (R) ​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!