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
11Alexandr11 [23.1K]
2 years ago
5

Why must one leg of a triangle that the Pythagorean triple represents need an even-numbered length?

Mathematics
1 answer:
pashok25 [27]2 years ago
6 0

Most of the square numbers are even.so if we need to find root over we need an even number to convert it to perfect square.

See the example below

  • P=3
  • B=4
  • H=5

\\ \ast\bull\rm\longmapsto H^2=P^2+B^2

\\ \ast\bull\rm\longmapsto H^2=3^2+4^2

\\ \ast\bull\rm\longmapsto H^2=9+16

\\ \ast\bull\rm\longmapsto H^2=25

\\ \ast\bull\rm\longmapsto H=\sqrt{25}

\\ \ast\bull\rm\longmapsto H=5

Some other triplets are

  • (6,8,10)
  • (5,12,13)
  • (8,15,17)
You might be interested in
Help please im lost and not good in math
Damm [24]
Answers: a = 49
b = 10
c = 105
8 0
3 years ago
Read 2 more answers
- 1 solve the equation<br> - m - 7 = 5<br> 3
Eduardwww [97]
The answer is 60 because were subtracting in the equation but to find m we need to the opposite which is to add 53 plus 7 which is 60. To check your answer do 60-7 equals 53
3 0
2 years ago
Read 2 more answers
Help me with a. b. c. I need help
hammer [34]

Answer:

a) Perimeter = 20.5 Inches

   Area is 15 Sq Inches

b) Perimeter is 61.4 Cms

    Area is 210 Sq cm

c) Perimeter is 22 yards

   Area is 21 Sq Yards

Step-by-step explanation:

a) Perimeter = sum of all the sides

= 8+7.5+5

=20.5

Perimeter = 20.5 Inches

Area of Triangle =\frac{1}{2} \times height \times Base

Base = 7.5 In

Height = 4 In

A = \frac{1}{2} \times 4 \times 7.5

A = 2 \times 7.5

A = 15

Hence Area is 15 Sq Inches

b)  Perimeter = Sum of all the sides

P=13+23+13.4+12

P=61.4

Perimeter is 61.4 Cms

Area of trapezium = \frac{1}{2} \times height  \times (sum \ of \ parallel \ sides)

A= \frac{1}{2} \times 12 \times (12+23)

A= 6 \times 25

A=210

Area is 210 Sq cm

c) Perimeter = Sum of all the sides

P = 7+4+7+4 ( as Opposite sides are equal in a parallelogram

P = 22

Perimeter is 22 yards

Area of a parallelogram = base \times height

A= 7 \times 3

A = 21

Area is 21 Sq Yards

3 0
3 years ago
») Evaluate the expression for c = 4 and d = 11.<br> C + d =
HACTEHA [7]

Answer:

4+11=15

Step-by-step explanation:

c=4 11=b

4(c) + 11(d) = 15

8 0
2 years ago
////////////// 3x^2-4-x=0
Lelechka [254]

Answer:= -1

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is N in -2n+2(3n+14)=-20​
    14·1 answer
  • the amount of money rqised at a charity fundraiser varies directly with the number of attendees. the amount of money raised by 1
    15·1 answer
  • 5yr is how many days
    13·2 answers
  • Find the measure of an exterior angle of a regular polygon with 19 sides.
    11·2 answers
  • For what values of x is the in equality 2/3+x/3&gt;1 true
    11·1 answer
  • The government of a foreign country has recently decided to give a text to be to each of us adults citizens the total amount of
    13·1 answer
  • A camera has a listed price of $699.98 before tax. If the sales tax rate is 9.5, find the total cost of the camera with sales ta
    10·1 answer
  • Most quadratic equations have______roots?
    5·1 answer
  • Give an example of a negative integer then give its opposite
    10·1 answer
  • 10+4.5m=21.25<br> Solve for M
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!