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
denis-greek [22]
3 years ago
8

Prove the converse of the Pythagorean theorem using similar triangles. The converse of the Pythagorean theorem states that when

the sum of the squares of the links of the legs of the triangle equals the shared length of the hypotenuse, the triangle is a right triangle. Be sure to create and name the appropriate geometric figures. HELPPP

Mathematics
2 answers:
liraira [26]3 years ago
8 0

Answer:

Step-by-step explanation:By AA similarity postulate

△ADB∼△ABC∼△BDC

therefore the sides of the triangles are proportional, in particular

ADAB=ABAC ACBC=BCDC

By algebra we have the following equations

AD⋅AC=AB⋅ABAC⋅DC=BC⋅BC

this is the same as

AD⋅AC=AB2AC⋅DC=BC2

"Equals added to equals are equal" allows us to add the equations

AD⋅AC+AC⋅DC=AB2+BC2

By distributive property

AC(AD+DC)=AB2+BC2

but by construction AD+DC=AC.

Substituting we have

AC⋅AC=AB2+BC2

this is equivalent to

AB2+BC2=AC2

which is what we wanted to prove

Whitepunk [10]3 years ago
5 0

Answer:

I don't how to exactly put the explanation in words I hope this helps you

Step-by-step explanation:

You might be interested in
Find X intercept of f(x)=2(x-4)^2+2
Fofino [41]

Step-by-step explanation:

f(x) = 2( x - 4) ^{2}  + 2 \\ f(x) = 2({x}^{2}  - 8x + 16) + 2 \\ f(x) = 2 {x}^{2}  - 16x + 32 + 2 \\ f(x) = 2 {x}^{2}  - 16x + 34

8 0
3 years ago
Use the unit circle to find cos Θ.
zalisa [80]

Answer:

\frac{\sqrt{2}}{2}

Step-by-step explanation:

Start by determining the simpler angle 2\pi-\theta (or, the complement of the highlighted angle in red on your image). The cosine of that angle is

\cos (2\pi-\theta) = \frac{x}{1}=\frac{\frac{\sqrt{2}}{2}}{1}=\frac{\sqrt{2}}{2}

Now, back to the actual red-circled angle. That one is going in the negative direction and ends up in the same position on the unit circle. Since cosine is an even function, its value is the same whether you evaluate at an angle theta, or its complement 2pi-theta. So, the final answer is: \frac{\sqrt{2}}{2}

3 0
3 years ago
Read 2 more answers
Explain how finding 4 x 384 can help you find 4 x 5,384. Then find both products.
Serhud [2]
384
X 4 =
1536

5384
x 4 =
21536


7 0
3 years ago
A number k is multiplied by 3/4. the product is 12. What is the value of k?
elena55 [62]

Answer:

3/4 × 12/1

3×12/4×1

36/4

9

4 0
3 years ago
Read 2 more answers
5. Which numbers below are composite?<br> 13<br> 15<br> 17<br> 27<br> Help
yan [13]

Answer:

15 and 27 are composite

Step-by-step explanation:

prime numbers only factor into 1(x) and x(1)

13 = 1(13), 13(1)

15 = 1(15), 3(5), 5(3), 15(1)

17 = 1(17), 17(1)

27 = 1(27), 3(9), 9(3), 27(1)

hope this helps

7 0
3 years ago
Other questions:
  • Betty has a cow . The cow produces 5 liters of milk each day . If his diet improved , the cow will produce 200% more milk . How
    13·1 answer
  • What goes into 75 and 25
    8·2 answers
  • Rachel deposits $100 in a bank account and she gets 8% simple interest on it. Which linear model gives the return on her investm
    10·1 answer
  • A turntable rotates counterclockwise at 78 rpm. A speck of dust on the turntable is at an initial angular position of 0.45 radia
    13·1 answer
  • Please help if you’re good at range! BRAINLIEST TO BEST ANSWER! What’s the range of this graph?
    11·1 answer
  • You find a mutual fund that offers approximately 8.5% APR compounded
    7·2 answers
  • Z2 − 2 = 0 using the quadratic formula
    8·1 answer
  • Find the total surface area of this cuboid,<br> 5 cm<br> 4 cm<br> 6 cm
    9·2 answers
  • Please help ill give brainliest
    15·1 answer
  • In a study, researchers wanted to measure the effect of alcohol in the development of the hippocampal region in adolescents. The
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!