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ICSE Class 10 Answered

The perimeter of a right-angle triangle is 60 cm.Its hypotenuse is 25 cm.Find the area of the triangle.
Asked by Pphubom | 23 Jul, 2018, 06:25: AM
answered-by-expert Expert Answer
begin mathsize 16px style Let space straight x 1 over blank comma space straight y space comma space straight z space be space base space comma space height space and space hypotenuse space respectively. straight x space plus space straight y space plus space straight z space equals space 60 and space straight z space equals space 25 space rightwards double arrow space straight x space plus space straight y space equals space 35 and space straight x squared space plus space straight y squared space equals straight z squared space space equals space 25 squared...... left parenthesis space Pythagoras space Theorem right parenthesis To space find space colon space Area space of space straight a space triangle space equals space 1 half space cross times space base space cross times space height space equals space 1 half xy We space have space space straight x space plus space straight y space equals space 35 left parenthesis straight x space plus space straight y space right parenthesis squared space equals space 35 to the power of 2 space end exponent left parenthesis space squaring right parenthesis rightwards double arrow 2 xy space equals space space 35 squared space minus space left parenthesis straight x squared space plus space straight y squared right parenthesis space rightwards double arrow 2 xy space equals space space 35 squared space minus space 25 squared rightwards double arrow 2 xy space equals space space 600 rightwards double arrow xy space equals 300 rightwards double arrow 1 half xy space equals space 150 end style
Answered by Yasmeen Khan | 23 Jul, 2018, 11:21: AM

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