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
Sonja [21]
2 years ago
12

How to figure out pythagoras theorem?

Mathematics
1 answer:
Paladinen [302]2 years ago
6 0

Any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

<h3>What is the Pythagoras Theorem?</h3>

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In △ABD and △ACB,

∠A = ∠A (common)

∠ADB = ∠ABC (both are right angles)

Thus, △ABD ∼ △ACB (by AA similarity criterion)

Similarly, we can prove △BCD ∼ △ACB.

Thus △ABD ∼ △ACB,

Therefore, AD/AB = AB/AC.

We can say that AD × AC = AB².

Similarly, △BCD ∼ △ACB.

Therefore,

CD/BC = BC/AC.

We can also say that

CD × AC = BC².

Adding these 2 equations, we get

AB² + BC² = (AD × AC) + (CD × AC)

AB² + BC² =AC(AD +DC)

AB² + BC² = AC²

Hence proved

Thus, any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

Learn more about Pythagoras theorem from:

brainly.com/question/343682

#SPJ1

You might be interested in
Anybody have an answer?
lyudmila [28]

(3+2)^2+(5+4)^2=x^2\\ 5^2+9^2=x^2\\ 25+81=x^2\\ x^2=106\\ x\approx10.3

7 0
3 years ago
this week luiz made 80% of what he made last week if he made $72 this week how much did he make last week?
kvv77 [185]

Answer: He made $90 last week.

Assumption :

Let, Luis made $X last week.

He made $72 this week which is 80% of $X that he made last week

⇒ X * 80% = 72

⇒ X * 80/100 = 72

⇒ X = (72 * 100)/80

⇒ X = 90

Therefore, he made $90 last week.

To remember :

While solving this type of problems, be careful to understand which one of last time and current time is not given; just assume that one and input other conditions, the problem will be solved.

8 0
2 years ago
- 3(x - 6) + 6 = 5x - 6. work<br>​
MakcuM [25]

Answer:

= 15/4 as fraction

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Howdy, I need help with an algebra question, thanks! (I'll give you brainlist too)
expeople1 [14]

Answer:

I got -16w^5/v^3 as well

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
How will you write 5 × 5 × 5 × 5 × 5 as an exponential expression?
mash [69]
C because
5^5 same as 5x5x5x5x5
=3125
6 0
3 years ago
Read 2 more answers
Other questions:
  • the cost of a gallon of orange juice is $3.50. What is the maximum number of containers you can buy for $15?
    5·1 answer
  • Tom deposits $300 into an account that pays simple interest at a rate of 4% per year. How much interest will he be paid in the f
    14·1 answer
  • How much interest is earned on$2,700 in one year if it is invested at 3%
    8·2 answers
  • All three medians intersect at the point of concurrency what’s it called
    7·1 answer
  • What is four times a number, minus 8, is equal to three times the number, plus 9
    14·1 answer
  • What is the minimum value of the parabola y= x^2+5x
    6·1 answer
  • A certain quadratic function has x-intercepts at 2 and 3. What are the x-coordinates of its vertex?
    15·1 answer
  • A book is 6 inches wide and 9 inches tall.
    12·2 answers
  • C= 5/9(F-32)
    9·1 answer
  • Which of the following graphs matches the table below?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!