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
Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?
Maksim231197 [3]

+ 36 is ur Answer

ONLY NAKED GIRLS

ID => 657 824 8085

PA => 12345

[ONLY - GIRLS]

On ZO.OM App

3 0
2 years ago
The height of a ball above the ground as a function of time is given by the function h(t)=−32t2+8t+3 where h is the height of th
gavmur [86]

Answer:

0.125 seconds.

Step-by-step explanation:

We have been given that the height of a ball above the ground as a function of time is given by the function h(t)=-32t^2+8t+3, where h is the height of the ball in feet and t is the time in seconds.

We can see that our given equation is a downward opening parabola as its leading coefficient is negative. The maximum point will be vertex of parabola.

To find the time, when the ball would be at its maximum height, we need to find the x-coordinate of vertex.

Using formula \frac{-b}{2a}, we will find the x-coordinate of vertex of parabola as:

\frac{-b}{2a}

\frac{-8}{2*-32}

\frac{-8}{-64}

\frac{1}{8}

0.125

Therefore, the ball will be at a maximum height after 0.125 seconds.

6 0
3 years ago
Is (-8, -10) a solution to this system of equations?
Dmitrij [34]

Answer:

No is something worng

Step-by-step explanation:

y= 9/8 * x - 1

8 0
2 years ago
What is 935 38/92 rounded to the nearest ten?
allochka39001 [22]
93,538 / 92 rounded is 1,020
5 0
3 years ago
Could someone help me out with this plss
Brrunno [24]

Answer:

nodda

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Write an equation given linear situation.
    8·1 answer
  • If you work for 5 hours and you make $65, how many hours would you have to work to earn $143
    6·2 answers
  • If sin(2x) = cos (x + 30%), what is the value of x?!
    7·1 answer
  • Invent a data set with five numbers that has a mean of 10 and a median of 12.
    8·1 answer
  • Y=-1/5x+12<br> What is the y-intercept?<br> What is the slope?
    7·2 answers
  • When a biased coin is thrown 4 times, the probability of getting 4 heads is
    11·1 answer
  • Order the set of integers from greatest to least. {-100, -89, -124, -69, -52}
    9·1 answer
  • Help is very much appreciated!
    8·2 answers
  • If 14% of a number is 18, find 7% of that number.
    9·2 answers
  • Riddle-if you solve it i will delete your answer and you have to post the riddle. Riddle-you enter a room. 2 dogs, 4 horses, 1 g
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!