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
____ [38]
3 years ago
8

The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
Mashcka [7]3 years ago
7 0

Answer:

\frac{\sqrt{10}}{2}

Step-by-step explanation:

The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that a^2+b^2=c^2, where c is the hypotenuse of the triangle, and a and b are the two legs of the triangle.

From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of \sqrt{5}, we have:

x^2+x^2=\sqrt{5}^2,\\2x^2=5,\\x^2=\frac{5}{2},\\x=\sqrt{\frac{5}{2}}=\frac{\sqrt{5}}{\sqrt{2}}=\frac{\sqrt{5}}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\boxed{\frac{\sqrt{10}}{2}}

You might be interested in
Springboard Geometry Chapter 21 Mid-Unit Assessment
ExtremeBDS [4]

I really don't know just say its o

4 0
3 years ago
Solve the following equation for x. Express your answer in the simplest form.
iogann1982 [59]
2.3 recurring
Hope this helps you
8 0
2 years ago
Consider the data set. 5,7,5,3,2,7,8,9,3,2 Which statement describes a way to find the median of the data set?
maksim [4K]

Answer:

C

Step-by-step explanation:

6 0
2 years ago
What should be done to solve the equation?
stellarik [79]

Answer:

add 17 to both sides

Step-by-step explanation:

as it cancels itself

mark brainliest

5 0
3 years ago
What is the solution of the inequality -6x-17≥8x+25
Aleksandr-060686 [28]
-6x -17> 8x + 25.
Get x on one side; Subtract 8x from both sides.
-14x -17 > 25.
Add 17 to both sides to get x by itself.
-14x>42.
Divide both sides by -14 (remember to flip the inequality when dividing by negatives).
x <_ 3 is your solution (line under the inequality).
I hope this helps!
3 0
3 years ago
Read 2 more answers
Other questions:
  • Help! Find x in the given figure.<br><br><br><br> x = inches.
    15·1 answer
  • What is the thirtieth term in the sequence 11, 17, 23, 29, 35…?
    14·2 answers
  • Solve the inequality -2(6+s)&gt;-15-2s
    6·1 answer
  • Beyonce is solving a system of equations:
    8·1 answer
  • In 36 days a girl spent 18 dollars. On average, what did she spend daily
    6·2 answers
  • One question please help a friend out thanks you guys :-)
    15·1 answer
  • Which function represents the graph of h(x)=2|x+3|−1 after it is translated 2 units right?
    7·2 answers
  • 8th grade math ,please answer
    6·2 answers
  • Your parents give you 1 cent to clean up your kitchen on Aug. 15. They will double the amount of money they give you on the foll
    12·2 answers
  • Do someone one want to help me with this ?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!