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
defon
3 years ago
5

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a2 + b2 = c2, which in this iso

sceles triangle becomes a2 + a2 = c2. By combining like terms, 2a2 = c2. Which final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg? Substitute values for a and c into the original Pythagorean theorem equation. Divide both sides of the equation by two, then determine the principal square root of both sides of the equation. Determine the principal square root of both sides of the equation. Divide both sides of the equation by 2.
Mathematics
2 answers:
abruzzese [7]3 years ago
4 0

Complete Question

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a² + b² = c², which in this isosceles triangle becomes a² + a² = c². By combining like terms, 2a² = c². Which final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg?

a) substitute values for a and c into the original pythagorean theorem equation.

b) divide both sides of the equation by two, then determine the principal square root of both sides of the equation.

c) determine the principal square root of both sides of the equation.

d) divide both sides of the equation by 2.

Answer:

c) determine the principal square root of both sides of the equation.

Step-by-step explanation:

Pythagoras Theorem for a right angled triangles states that:

a²+ b²= c²

But for an Isosceles Triangle, where two sides of the triangle are equal, we have:

a²+ a² = c²

By combining like terms

2a² = c²

We square root both sides of the equation.

√2a² = √c

√2a² = c

The final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg = √2a² = c is Option c.

uranmaximum [27]3 years ago
4 0

Answer:

c)                                              

Step-by-step explanation:

You might be interested in
0.82 times what =0.0082???
butalik [34]

Answer: 0.01

Step-by-step explanation:

0.0082 / 0.82 = 0.01

0.82 × 0.01 = 0.0082

6 0
3 years ago
Is 6/6 more than 3/3
hodyreva [135]
They are both equivalent to 1, so they are equal. 

4 0
3 years ago
Plzz help asap.......​
SSSSS [86.1K]

Answer:

29.78 feet

Step-by-step explanation:

4 0
3 years ago
Solve the system of equations.<br><br><br> 2x + 3y = 1<br> y = 3x + 15
MrMuchimi
Since y=3x+15
sub 3x+15 for y in other equation

2x+3(3x+15)=1
2x+9x+45=1
minus 45
11x=-44
divide 11
x=-4

sub
y=3x+15
y=3(-4)+15
y=-12+15
y=3

(-4,3)
6 0
3 years ago
Tim has two spinners , spinnerA and spinner B. Each spinner can only land on red or blue . The probability that spinner A will l
Ganezh [65]

Answer:

52

Step-by-step explanation:

<u>Spinner A</u>

  • Probability of red = 0.5,
  • Probability of blue = 0.5

<u>Spinner B</u>

  • Probability of red = 0.6,
  • Probability of blue = 0.4

<u>Probability of both A and B land on red: </u>

  • 0.5*0.6= 0.3

<u>Number of attempts to get outcome of 84 red on both spinners is:</u>

  • 84/0.3= 260

<u>Probability of both spinners land on blue:</u>

  • 0.5*0.4= 0.2

<u>Estimated number of both spinners land on blue:</u>

  • 260*0.2= 52  
4 0
3 years ago
Other questions:
  • An area of 4 square yards is equal to 36 square feet. Using this information, 10 square yards is equal to how many square feet?
    7·2 answers
  • Prove system has more than one solution then it has infinite solution
    11·1 answer
  • Add the following fractions. Answer must be in simplest form. 3 over 7 + 1 over 7
    9·2 answers
  • If triangle ABC A(-4,5) B(-4,-6) and C(3,-8)is rotated 90 degrees clockwise about the origin, What would be the coordinates of t
    12·2 answers
  • A prediction from a line graph is
    10·2 answers
  • Which set of ordered pairs does not represent a function? A. (7, 8), (-4, 4), (3, 8), (-7, -1) B.(-5, -3), (-1, -8), (-7, 0), (-
    5·1 answer
  • Simplify 6 plus 7 times 2
    13·2 answers
  • Round $78.9356 to the nearest cent
    6·1 answer
  • Mr.Scott weekly salary is $37 less than Mr. Khanna's. If Scott weekly salary is $584, what is Khanna's weekly salary?​
    10·2 answers
  • Choose 5 ordered pairs whose second component is the opposite of the first component.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!