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
rachel bought one double pack of CDs for $20. this is $4 less than 3/4 the cost of a triple pack of CDs. what is the price of a
Sophie [7]
The price of a triple pack of Cds is $30. 
6 0
3 years ago
Help me pls
marusya05 [52]

Answer:

the answer is 6

Step-by-step explanation:

just divide 150 by 25

5 0
3 years ago
Read 2 more answers
Help! I just need help with graphing the table. That's all.
umka2103 [35]

hmmmmmmmmmmmmmmmmmmmmm

7 0
3 years ago
M + m = 36<br><br> I need help to show the work please
wariber [46]

Answer:

m + m = 36

18 + 18 = 36


Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
6x - 9y = 111
Vikentia [17]
The answer to this question is x=8; y= -7
3 0
3 years ago
Read 2 more answers
Other questions:
  • Yoko is trying to save money for a new bicycle. She sets up a budget as shown below. Yoko’s Monthly Budget Description Income Po
    16·2 answers
  • HURRY! What is the volume of the prism?
    14·2 answers
  • Hwo can pick whaat signs do the coordinate have and what value would x have?
    7·2 answers
  • HELP ME PLZZZZ!!!!!<br><br><br> It’s just 21 and 22
    7·1 answer
  • If x -5<br> - x &gt; 5<br> - x &lt; -5
    8·1 answer
  • Given f(x) = 3x2 − 48 and g(x) = x − 4, identify (f/g)(x).
    5·1 answer
  • Help me finish my delta maths
    14·1 answer
  • Need help ASAP! Please
    6·2 answers
  • What is this? please help​
    12·2 answers
  • Which best describes the composition of tranformations that maps ∆LMN to ∆L'M'N'. 0,0 is the center of the dilation in each choi
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!