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.
yasummu:
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
Answered by
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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
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
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