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ICSE Class 8 Answered

The side of the right triangle are 4:3 and area is 726cm . Find the hypotenuse. 

Asked by riturajsharma092 | 07 Aug, 2018, 11:23: PM
Expert Answer
begin mathsize 16px style The space side s space of space straight a space right space triangle space are space 4 : 3.
rightwards double arrow length space of space straight a space first space side space equals space 4 straight x space and space the space length space of space straight a space second space side space equals space 3 straight x
Area space of space straight a space triangle space equals space 726
rightwards double arrow 1 half cross times space base space cross times height space equals space 726
rightwards double arrow 1 half cross times space 3 straight x space cross times 4 straight x space equals 726 space space
rightwards double arrow straight x squared space equals space fraction numerator 726 space cross times space 2 over denominator 12 end fraction space equals space 121
rightwards double arrow straight x space equals space 11
rightwards double arrow length space of space straight a space first space side space equals space 4 space cross times space 11 space equals space space 44 space space and space
space the space length space of space straight a space second space side space equals space 3 straight x space space equals space 33
Since space the space triangle space is space straight a space right space angled space triangle.
By space pythagoras space thm comma
space 44 squared space space plus space 33 squared space space equals space left parenthesis hypotenuse right parenthesis squared
rightwards double arrow left parenthesis hypotenuse right parenthesis squared space equals 3025
rightwards double arrow space hypotenuse space equals space 55

end style
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