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
What is the x-intercept of -3x-9y=18
bogdanovich [222]
The result is -6 
Hope this helps.
6 0
3 years ago
Read 2 more answers
What is the product of 1 1/2 and -1 1/4?
Savatey [412]

positive number times negative number is negative number "(+)(-) = (-)".

1\dfrac{1}{2}\cdot\left(-1\dfrac{1}{4}\right)=-\left(1\dfrac{1}{2}\cdot1\dfrac{1}{4}\right)

we change the mixed numbers to the improper fractions

=-\left(\dfrac{1\cdot2+1}{2}\cdot\dfrac{1\cdot4+1}{4}\right)=-\left(\dfrac{3}{2}\cdot\dfrac{5}{4}\right)=-\dfrac{3\cdot5}{2\cdot4}=-\dfrac{15}{8}=-1\dfrac{7}{8}

6 0
3 years ago
Explain how the multiplication property for inequalities differs from that of equations
Salsk061 [2.6K]
It doesnt differ lets take 10 = 6 + 4 multiply thru by a negative and flip the sign -10 = -6 - 4 flipping an equals sign about seems redundant, but the process works nonetheless <span>having two separate rules for solving inequalities and equalities seems pointless

</span>
4 0
3 years ago
Nancy bought 3 kilograms of grapes.
iragen [17]
She bought 3,000 grams of grapes.
4 0
2 years ago
Read 2 more answers
What is the perimeter of the quadrilateral below?
Elena-2011 [213]

D) 72 units, you get this answer by adding up 15+15+22+20 units to get the perimeter.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Clinton earns $12 per hour cutting grass. he earned a total of $162 last week cutting grass. exactly how msny hours did he spend
    11·1 answer
  • What is the inverse of the given relation? y= 4x-8
    13·1 answer
  • Find the number that makes the ration equivalent to 77:99
    15·1 answer
  • The given graph represents the function f(x) = 2(5)
    9·2 answers
  • OKK almost done pls tell me if you can!!!!
    7·2 answers
  • Use the distance formula to find the perimeter. Round to the nearest tenth.
    8·1 answer
  • Select all ratios equivalent to 4:3.
    11·1 answer
  • 10,9, 23, 68, 70, 4, 12,4<br> What is the median for this set of numbers?
    12·2 answers
  • (w+9) (w+4) find the product of the equation
    10·1 answer
  • Write an equation in point-slope form that has a slope of -1/2 and a y-intercept of -8.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!