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
Burka [1]
3 years ago
15

For any line, if you draw two right triangles using the line as the hypotenuse, can the triangles be congruent? Why or why not?

Do they have to be congruent? Why or why not?
ANSWER ALL OF THE QUESTIONS OR DONT ANSWER AT ALL THANK YOU.

Mathematics
1 answer:
Tom [10]3 years ago
4 0

Answer:

The triangles can be congruent but not always.

The triangles do not have to be congruent, but they have to be similar.

Step-by-step explanation:

See the attached diagram with this answer.

For any line (say OP), if you draw two right triangles ( Δ ABC and Δ A'B'C') using the line, OP as the hypotenuse, then the triangles can be congruent. This will be only when AC = A'C'.

That means if we draw two right triangles using the same length of a straight line as hypotenuse, then only the two right triangles will be congruent.

Now, If AC = A'C' then automatically, it becomes AB = A'B' and BC = B'C' and then by SSS criteria, the triangles Δ ABC and Δ A'B'C' will be congruent i.e. Δ ABC ≅ Δ A'B'C'.

But the triangles Δ ABC and Δ A'B'C' do not have to be congruent but they have to be similar.

Because, \frac{A'B'}{AB} = \frac{B'C'}{BC} = \frac{A'C'}{AC}

If this ratio becomes 1 : 1 then only those triangle will be congruent otherwise they will be similar only. (Answer)

You might be interested in
How much time has passed from the first clock to the second clock?
bonufazy [111]

Answer:

Step-by-step explanation:

Time for first clock is 8:34

Time for second clock is 11:48

subtract them: 11 hrs. 48 min.

                      - 8 hrs. 34 min.

                      _____________

                        3 hrs. 14 min.

4 0
2 years ago
Undecillion how many 0s.
Irina-Kira [14]

Answer:

<u>Undecillion</u> has 36 0's

\sf{\#FromThePhilippines}

8 0
2 years ago
 helloo , i need help with this problem it says write this number (797,000,000,000+ 619,000,000+132)in standard form, please h
inysia [295]

Okay its 797,619,000,132

They all have different place values

4 0
2 years ago
a farm, in the shape of an isosceles trapezoid, is putting up fences on its diagonals. If 1 fence has sixteen 9 - foot segments,
iragen [17]

Answer:

18

Step-by-step explanation:

16 × 9 = 8 × x

x = 18

3 0
3 years ago
Hours worked / pay
Nadusha1986 [10]
It is c because 8x2=16 and 8x4=32 and so on
7 0
3 years ago
Other questions:
  • PLEASE HELP ILL GIVE 15 POINTS PLUS BRAINLIEST FOR CORRECT ANSWER! <br><br> Convert –18° to radians.
    13·1 answer
  • Solve the problem.
    14·2 answers
  • Two squares are similar. The first square has sides that measure 4 inches, and the second squares has sides that measure 12 inch
    11·1 answer
  • The greater of two numbers is 3 times the smaller.<br> Their sum is 44. Find the numbers.
    6·2 answers
  • two mice live in a subway station. if the number of mice triples every 6 months, how many mice will live in the subway in 4 year
    6·1 answer
  • I need help on this subject
    7·1 answer
  • HURRY
    10·1 answer
  • Jessica is 63 inches tall. What is her height to the nearest centimeter? (Hint 1 in = 2.54 cm)
    10·2 answers
  • A rhombus has an area of 440m ^2and a base of 22 m. What is its height?
    13·1 answer
  • Solve the equation.<br> 6 (7x + 7) = 7(6x + 6 )<br> Solution:<br> Help fast
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!