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
kolezko [41]
3 years ago
5

Emily says she can prove the Pythagorean Theorem using the following diagram. She explains that she can divide the squares on th

e two shorter sides into grids with equal-sized grid squares. She says she can then rearrange the grid squares to cover the area of the square on the hypotenuse, which proves that the sum of the squares on the two shorter sides equals the square on the hypotenuse.
Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles?

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0

Answer:

The last bit is correct, a2 + b2 = c2 for all right triangles? You do not divide the measurements you can only add up the squares to find the square of the hypotenuse as the sum, and then square root the totaled squares back to a new number. It does not cover the area like the statement said so only the question is true as Pythagoras theorem can be used to find a missing side or to find the missing hypotenuse.

Step-by-step explanation:

Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles?

Answer yes but only for c2 if we area adding.

This is because if we were looking and missing for a smaller side to the triangle measure and was already given the hypotenuse as one measure, then we can subtract either given alternative side would be; c2 - b2 = a2 to find an alternative side we subtract.

and c2- b2 = a2 works the same as c2 -a2 = b2.

None of the above formula finds the area, for the area we would need to multiply to find the height.

A = 1/2 x a x b

We have a different understanding to area

The area of a triangle is 1/2 given by the equation:

AΔ=(1/2)∗(base)∗(height) which is the smae as A= 1/2 x a x b

Eg)

Given: Measurements of A + B In attachment picture.

A = 3 cm

B = 4 cm

What is the area of the right triangle ABC?

Since the base leg of the given triangle is 4 cm, while the height is 3 cm, this gives:

AΔ=(1/2)∗3∗4=6cm2

So to find area we multiply A by 1/2 and multiply that product by the length of B (base).

You might be interested in
PLEASE HURRY!!!! TIMED!!!! WILL GIVE BRAINLIEST!!!!
sweet-ann [11.9K]

Answer:

\sqrt{28}

Step-by-step explanation:

You don't need to memorize all of the square roots.  Looking at each square root, find a number close to it that you know -- The square root of five is close to the square root of four, which is 2. The square root of 28 is close to the square root of 25, which is 5.  28 is a slightly bigger than 25, so the square root will be slightly greater than 5.

3 0
3 years ago
PLEASE HURRY, thanks!
forsale [732]
The answer to the problem is C 2^12 the reason is because 16^3 is 4,096 and
2^7=128
2^11=2,048
2^12=4,096 which is what we want so this is the answer
2^64=18,447,744,073,709,551,616 which is not even close to what we want at all

So the answer is C 2^12
8 0
3 years ago
Read 2 more answers
Which two points on the number line represent numbers that can be combined to make zero? A B C D -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1
maria [59]

Answer:  B and D

Step-by-step explanation:

B=-2

D=2

The negative and positive signs cancel out, leaving you with zero.

Ex: you take two steps back, but then you take two steps forward so you're back where you started (0).

8 0
3 years ago
On Mars, an object weighs 38% as much as on Earth. How much would a person who weighs 165 pounds on Earth weigh on Mars?
nikdorinn [45]

Answer:

62.7

Step-by-step explanation:

165 * 0.38 = 62.7


This is assuming you mean an object weights 38% less on mars then earth, if its the other way around(they weight 38% more on mars then earth) it would be,


165 * 1.38 = 227.7

8 0
3 years ago
Read 2 more answers
What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?
tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

y=x^{2}-8x+15

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

x^{2}-8x+15=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-8x+15=0  

so

a=1\\b=-8\\c=15

substitute in the formula

x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}

x=\frac{8\pm\sqrt{4}} {2}

x=\frac{8\pm2} {2}

x=\frac{8+2} {2}=5

x=\frac{8-2} {2}=3

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0
2 years ago
Other questions:
  • Total solidification times of three casting geometries are to be compared: (1) a sphere with diameter = 10 cm, (2) a cylinder wi
    11·1 answer
  • Consider the system of linear equations 2x + 3y = 8 and 3x+y=-2. Which statement is correct
    5·2 answers
  • I need help with this problem
    6·2 answers
  • (10 points) Please help me, I'm trying to pass this test so I could bring my grade up in a math class, I'd really appreciate it!
    12·1 answer
  • Use the grouping method to factor the polynomial below x^3 -4x^2+3x-12
    6·1 answer
  • Find the indicated term of the given geometric sequence.<br><br> a1 = 11, r = 3.4, n = 7
    6·1 answer
  • Which of the following rational functions is graphed below?​
    13·1 answer
  • HELPPP PLSSS
    10·2 answers
  • 8<br> What is 5.618372 rounded to the nearest tenths place?
    6·2 answers
  • The following table shows how far a bus has gone in t hours. Which of the following equations represents this information?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!