SOLUTION: solve for <pre> ^ / |\ / | \

Algebra.Com
Question 1108310: solve for 
                                   ^
                                 / |\
                                /  | \
                              6/   |  \4
                              /    |   \
                             /     |    \
                            /___x__|_____\
                            |-----6-------|

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52898)   (Show Source): You can put this solution on YOUR website!
.
From the left right-angled triangle you have this Pythagorean equation

x^2 + h^2 = 6^2.        (1)


From the right right-angled triangle you have this Pythagorean equation

(6-x)^2 + h^2 = 4^2.    (2)


Subtract eq(2) from  eq(1). You will get

x^2 - (6-x)^2 = 36 - 16,

x^2 - 36 + 12x - x^2 = 20,

12x = 20 + 36 = 56.


=======>  x =  = .

Solved.


Answer by greenestamps(13214)   (Show Source): You can put this solution on YOUR website!


The triangle is isosceles, with two sides of length 6. Then using the side with length 4 as the base, the height of the triangle will be the length of the other leg of a right triangle with one leg 2 (half of the 4) and hypotenuse 6. So the height is


Then the area of the triangle is one-half base times height:

Then, using your diagram with 6 as the base, the area of the triangle is one-half base times the altitude you show (call it h):



And then the unknown x we are looking for is the other leg of a right triangle with one leg h and hypotenuse 6:
RELATED QUESTIONS

solve for x 
                               ^
                      (answered by ikleyn)

solve for x

                              
   
                                    (answered by Collinwilfixyouuprealnice)

 solve for x
              
                    ________________________
          (answered by Alan3354)


Solve for x:

   1         1          22
——————— + ——————— = —————————
 x - 4     (answered by AnlytcPhil)

solve for x

                   
... (answered by Edwin McCravy)

solve for X
                      
                                 ^
             (answered by stanbon,greenestamps)


Divide:    5 + 3i
           -------
           6 -... (answered by Edwin McCravy)


Can you please solve.

x  1  2  3  4 
a 18 16 14 12

a=????
Thanks Brad
 (answered by AnlytcPhil)