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
VikaD [51]
3 years ago
9

7 A triangle is right-angled if the sides are a = m2 − n2, b = 2mn and c = m2 + n2 where m and n are positive integers, and m &g

t; n.
Show that this is true by substituting into the equation c2 = a2 + b2.
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0
The general formula for the sides of right triangle is
a² + b² = c²

Subtitute the equation of a and b to the formula a² + b², evaluate if the answer will be the same as the equation of c²

a² + b²
= (m² - n²)² + (2mn)²
= (m² - n²)(m² - n²) + (2mn)(2mn)
= (m⁴ - 2m²n² + n⁴) + 4m²n²
= m⁴ + 2m²n² + n⁴

Factorize the result
m⁴ + 2m²n² + n⁴
= (m² + n²)(m² + n²)
= (m² + n²)²
= c²

It's proven by the formula that c² = (m² + n²)²
so the c will be m² + n²
You might be interested in
I need help i don’t know the answer
Julli [10]
Answer:

3x - 4 and 2x + 15

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Solve for x 11x+4<15 OR 12x−7>−25
never [62]

Isolate the x in both cases. What you do to one side, you do to the other.


11x + 4 < 15


Subtract 4 from both sides


11x + 4 (-4) < 15 (-4)


11x < 11


isolate the x, divide 11 from both sides


11x/11 < 11/11


x< 1


x < 1 is your answer for the first one

-------------------------------------------------------------------------------------------------------------------


Again, isolate the x.


12x - 7 > -25


Add 7 to both sides


12x - 7 (+7) > -25 (+7)


12x > -18


Isolate the x, divide 12 from both sides


12x/12 > -18/12


x > -1.5 is your answer for the second one.


-------------------------------------------------------------------------------------------------------------------



hope this helps

3 0
3 years ago
Read 2 more answers
HII i really need help
Kipish [7]

Answer:

when in doubt choose c

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
you can see that there is 8 cm in middle of the trapezoid. above the trapezoid, it says 6 cm, below the trapezoid, it says 11 cm
aniked [119]

Answer:

The measure of the longer base is:

                           9 centimeters

Step-by-step explanation:

We know that the area of a trapezoid with height h and two parallel bases b and b' is given by the formula:

Here we have:

The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters.

i.e.  

Step-by-step explanation:

6 0
3 years ago
BRAINLIEST ANSWER are all these right
hjlf

Answer:

Yes

Step-by-step explanation:

Don't you have to show your work??? Or no

4 0
3 years ago
Other questions:
  • Need help now!!! 20 points!!!
    11·2 answers
  • What is the difference between the greatest amount and least amount of gasoline used to mow lawns?
    13·1 answer
  • How to solve this equation 2√4
    8·1 answer
  • Who can solve this question​
    13·1 answer
  • I need to know the answer to this lol
    6·2 answers
  • HELP ME
    8·1 answer
  • Decide whether the relation defines a function.
    12·2 answers
  • A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 150 lb and each bo
    13·1 answer
  • Clarise has $290 in her checking account. She writes checks for $102 and $75 and then makes a deposit of $170. Find the amount l
    11·2 answers
  • Can someone help me please
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!