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
Seller Andy require a 2.5% deposit on all offers. Buyer josh wants to offer $452,000 for the property. The property was appraise
arlik [135]

Answer: $11,300

Step-by-step explanation:

Given the following :

Buyer Josh's offering price = $452,000

Required deposit rate = 2.5%

Earnest money deposit is the product of :

Offering price × required deposit accepted

$452,000 × 2.5%

$452,000 × 0.025 = $11,300

7 0
3 years ago
Can the sum of two mixed numbers be equal to explain
mel-nik [20]

Answer:no because mixed numbers  need atleast a  one  and  a  fraction to be  mixed number but  if there  was a fraction then it couldnt equal two because of the 1's

Step-by-step explanation:

8 0
3 years ago
The diagram represents an enlargement of a rectangle by a scale factor of 4.
Tpy6a [65]

Answer:

D. 16 inches by 8 inches

Step-by-step explanation:

We have been given an image of two rectangles and we are asked to find the dimensions of the enlarged rectangle.

Since we have been given that the original rectangle is enlarged b a scale factor of 4, so to find the dimensions of enlarged rectangle we will multiply the dimensions of original rectangle by 4.

\text{Length of enlarged rectangle}=4\times 4\text{ inch}

\text{Length of enlarged rectangle}=16\text{ inch}

\text{Width of enlarged rectangle}=4\times 2\text{ inch}

\text{Width of enlarged rectangle}=8\text{ inch}

Therefore, the dimensions of enlarged rectangle are 16 inches by 8 inches and option D is the correct choice.

6 0
2 years ago
Read 2 more answers
A pumpkin is thrown out of a window that is 4 feet high with an upward velocity of 14. When will the pumpkin hit
Gnom [1K]

Answer:

Step-by-step explanation:

Given

Height H = 4 feet

Velocity = 14ft/s

Required

Time the pumpkin will hit the ground

Using the equation of mottion

H = ut + 1/2gt²

4 = 14t + 1/2(9.8)t²

4 = 14t + 4.9t²

4.9t²+14t-4 = 0

t = -14±√196+16(4.9)/2(4.9)

t = -14±√196+78.4/2(4.9)

t = -14±16.57/9.8

t = -14+16.57/9.8

t = 2.57/9.8

t = 0.2seconds

7 0
2 years ago
Solve the following system using substitution.
ziro4ka [17]

Answer/Step-by-step explanation:

3. By substitution method, let's substitute \frac{2}{3}x- 4 for y in the first equation.

Thus,

\frac{1}{3}x + 2(\frac{2}{3}x- 4) = 1

Solve for x

\frac{x}{3} + \frac{4x}{3} - 4 = 1

Add 4 to both sides

\frac{x}{3} + \frac{4x}{3} - 4 + 4 = 1 + 4

\frac{x}{3} + \frac{4x}{3} = 5

\frac{x + 4x}{3} = 5

\frac{5x}{3} = 5

Multiply both sides by 3

\frac{5x}{3}*3 = 5*3

5x = 15

Divide both sides by 5

x = 3

Now, substitute 3 for x in the equation.

y = \frac{2}{3}x- 4

y = \frac{2}{3}(3) - 4

y = 2 - 4

y = -2

The solution of the equation is x = 3, y = -2

4. Solving by elimination, let's try to eliminate the x-variable by adding both equation together.

3x - 2y = 11

-3x - y = 4

            -3y = 15  => (-3x +(-3x) = 0; -2y +(-y) = -3y; 11 + 4 = 15)

Divide both sides by -3 to solve for y

\frac{-3y}{-3} = \frac{15}{-3}

y = -5

Substitute -5 for y in the first equation to find x

3x - 2(-5) = 11

3x + 10 = 11

Subtract 10 from both sides

3x + 10 - 10 = 11 - 10

3x = 1

Divide both sides by 3

\frac{3x}{3} = \frac{1}{3}

x = \frac{1}{3}

The solution is x = \frac{1}{3}, y = -5

8 0
3 years ago
Other questions:
  • Give a # that makes 10 - x &lt; 5 true.
    6·1 answer
  • The altitude of an equilateral triangle is 18 inches. Find the length of a side
    14·1 answer
  • How many inches in 3 miles
    5·2 answers
  • 2. Simplify 2(54−1)3
    12·2 answers
  • Need help...
    15·2 answers
  • PLZ HELP Given quadrilateral ABCD, if diagonals AC and BD bisect each other, and angle ABC=91°, but you know nothing about any l
    11·1 answer
  • A researcher uses an anonymous survey to investigate the study habits of American college students. Based on the set of 56 surve
    15·1 answer
  • I need help guys ASAP
    8·1 answer
  • Write the equation of a line passing through (-4.3) and perpendicular to -6x + 4y =-12.
    7·1 answer
  • Please answer if possible
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!