area of a isoceles right angled tri angle is 200cm2. find its hypotonuse.

CBSE Class 9 Answered

area of a isoceles right angled tri angle is 200cm2. find its hypotonuse.

Asked by mehaksri2001 | 07 Sep, 2015, 05:57: PM

Expert Answer

$begin mathsize 16px style Area space of space given space isoceles space right space angled space triangle space equals space 200 cm squared. space Let space straight a space be space the space length space of space equal space sides space and space straight h space be space the space hypotenuse space of space given space triangle. According space to space Pythagoras space theorem comma straight h squared equals straight a squared plus straight a squared straight h squared equals 2 straight a squared straight h space equals space square root of 2 straight a squared end root equals square root of 2 straight a Area space of space given space isoceles space right space angled space triangle space equals space 200 cm squared. space therefore 200 space equals space square root of 2 straight a space therefore straight a equals fraction numerator 200 over denominator square root of 2 end fraction Substituting space value space of space straight a space in space straight h space equals space square root of 2 straight a straight h equals square root of 2 cross times fraction numerator 200 over denominator square root of 2 end fraction equals 200 space Hence comma space length space of space hypotenuse space equals space 200 space cm end style$

Answered by | 07 Sep, 2015, 06:57: PM