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
m_a_m_a [10]
3 years ago
6

Determine the missing side length:

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0
The answer is:  "3" .
_______________________________
Use the Pythagorean theorem (for right triangles):

a² + b² = c² ;

in which "a = "side length 1" (unknown; for which we which to solve);

               "b" = "side length 2" = "√3" (given in the figure) ;

               "c" = "length of hypotenuse" = "2√3" (given in the figure);
_____________________________________________________
a² + b² = c² ; 

a² = c² − b² ;

Plug in the known values for "c" and "b" ;

a² = (2√3)²  −  (√3)² ;

Simplify:

(2√3)² = 2² * (√3)² = 2 * 2 * (√3√3)  = 4 * 3 =  12 .

 (√3)²  = (√3√3) = 3 .

a²  = 12 − 3 = 9 .

a² = 9

Take the "positive square root" of EACH SIDE of the equation; to isolate "a" on one side of the equation;  & to solve for "a" ; 

+√(a²)  = +√9 ;

     a = 3 . 
____________________________________
The answer is:  "3" .
____________________________________
You might be interested in
Find the 50th term of the sequence 5, -2, -9, -16
VARVARA [1.3K]

Answer:

-35

Step-by-step explanation:

it is going backwards by -7 so 5x-7 = -35

6 0
3 years ago
Jimmy wants to order pizza for the birthday party on Thursday each pizza has four slices if the eight kids at the party each eat
blagie [28]

Answer: 14 Pizzas

2 pizzas means each kid gets one

so 7 times 2 is 14 so I beleive the answer is 14


8 0
3 years ago
If 2x+5=8x then 12x=?
Ahat [919]
Hello

2x+5=8x

5=6x

x=5/6 

12(5/6)

x=10

Have a nice day
6 0
3 years ago
Read 2 more answers
Yesterday movie theaters sold 261 bags of popcorn a large bag of popcorn cost three dollars a small bag of popcorn cost one doll
kherson [118]
Kannaoakaksmsamammamsmma 66
7 0
2 years ago
Fill in the blanks to show the steps in solving the inequality -2x + 12<-4
professor190 [17]
-2x + 12 < - 4......subtract 12 from both sides
-2x + 12 - 12 < -4 - 12....simplify
-2x < -16...divide both sides by -2, changing the inequality sign
(-2/-2)x > -16/-2....simplify
x > 8
8 0
3 years ago
Other questions:
  • Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location. How fa
    11·1 answer
  • 6x^2+2x=3 round to the nearest hundreths
    14·1 answer
  • A sweatshirt originally priced at 28.00 is on sale for 22.00 what is the percent of decrease rounded to the nearest whole number
    13·1 answer
  • In a square with side length of 6, what is the distance between the center of the square and the center of the largest equilater
    6·1 answer
  • MARKING BRAINLIEST <br><br> PLS HELP
    15·2 answers
  • A local store is selling 6 bottles of glue for $3.78. which scale factor could be used to calculate the cost of 42 bottles of gl
    15·1 answer
  • Brandy needs 1/4 tsp of
    14·1 answer
  • Help!!!!!!!! I’m taking a test!
    12·1 answer
  • On a hot day, Ava poured 1/4 of a bucket of water into a plastic wading pool.a few minutes later she added another 1/3 of a buck
    12·1 answer
  • If you cant see let me know.​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!