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
BartSMP [9]
2 years ago
10

!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?

Mathematics
1 answer:
stiks02 [169]2 years ago
6 0

Answer:

Pythagorean Theorem: c2 = a2 + b2

Find the area by adding the areas of the three triangles. The area of a right triangle is: A = ½bh

Two triangles are identical so you can just multiply the area of the first triangle by two: 2A1 = 2(½bh) = 2(½ab) = ab.

The total area of the trapezoid is : A1 + A2 = ab + ½c2

You multiply both sides by 2 to get rid of the ½: (a2 + 2ab + b2) = 2ab + c2

You subtract out the 2ab: a2 + b2 = c2.

Then what is left is the proof: a2 + b2 = c2

You might be interested in
Picture attachment below
alex41 [277]

Answer:

69.08

Step-by-step explanation:

round from 69.115

7 0
3 years ago
Please tell me if I was right.
Gennadij [26K]
Im pretty sure you are i have done this question before and im pretty sure thats what i put and i got it right. plus just go with your gut

8 0
3 years ago
Write 5 • 5 • 5 • 5 • 5 • 5 • 5 using an exponent.
Sonbull [250]

Answer:

5^6

Step-by-step explanation:

5 was multiplied repeatedly 6 times, so it's 5 to the power of 6

8 0
2 years ago
Read 2 more answers
Which expression is equivalent to -6(3x-2/3)?
Evgesh-ka [11]
Hello!

-6(3x - 2/3)

Distribute the -6

-18x + 4

The answer is D) -18x + 4

Hope this helps!
6 0
2 years ago
Please help asap it will help very much
qwelly [4]

Answer:

180 cm²

Step-by-step explanation:

From inspection of the diagram, the surface area is made up of the area of 4 congruent triangles and the area of one square.

Area of a square = x² (where x is the length of one side)

⇒ area of the square = 6² = 36 cm²

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 6 x 12 = 36 cm²

Total surface area = 4 x area of one triangle + area of the square

                               = 4 x 36 + 36

                               = 144 + 36

                               = 180 cm²

5 0
2 years ago
Read 2 more answers
Other questions:
  • A small pebble has a mass of<br> about<br> 20 L<br> b.<br> 20 ml<br> 20 g<br> 20 kg<br> d.
    10·1 answer
  • Solve for x to make the inequality true
    7·1 answer
  • Round 9.58507409207 to the nearest whole number
    12·2 answers
  • How much liquid will fit in the glass shown? Round your answer to the nearest hundredth.
    5·1 answer
  • BRAINLIESTT!!!!!! PLEASE ANSWER ASAP
    9·1 answer
  • Which shape has the same volume as the given rectangular prism?<br><br><br><br><br><br> Thank you!
    5·2 answers
  • What is 2 2/5 * 3 1/3=
    9·1 answer
  • Please does anyone know the answer to this??
    14·2 answers
  • Can someone pls help me. it’s marked as late work and i don’t understand how to do
    5·1 answer
  • Write two word phrases for each expression. t + 23
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!