The hypotenuse of a right triangle is 6m more than the twice of the shortest side.If the third side is 2m less 3m than the hypotenuse.find the side of the triangle.

1
The third side is 2m less than the hypotenuse or 3m ?
if it is clear maybe i can help out in this one
WHICH SIDE
the side other than the hypotenuse and the shortest side. Actually the question is a very little ambiguous.
what does this mean 'the side is two metre less than 3m of the hypotenuse'?

Answers

2015-08-21T02:03:44+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Correction in the question:  The third side is 2 m less than the hypotenuse.

ABC is a right angle triangle at B.    Let AB  <=  BC < AC
AB is the shortest side.

      AC = 6 + 2 * AB    meters
      BC = AC -  2  meters   = 2 * AB + 4 meters 

we know that        
     AC² =  AB² + BC²
   =>  (6 + 2 *AB)²    =  AB² + ( 2 * AB + 4)²
   =>  36 + 4 AB²  + 24 AB = AB² + 4 AB² + 16 AB + 16
   =>  AB² - 8 AB - 20 = 0
   =>    AB = [ 8 +- √[64 + 80]  ] / 2 
   =>    AB = 10 meters
 
  => AC = 26 meters      and  BC = 24 meters

1 5 1
click on thanks button above please