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    				| 1. | The perimeter of a right is 40 cm and its hypotenuse measures 17. cm find the area of the area of the triangle . | 
| Answer» Correct Answer - `60 cm^(2)` Sum of two sides `=(40-17) cm = 23 cm.` Let these sides be x cm and (23-x) cm . `therefore x^(2)+ (23-x)^(2)=(17)^(2)implies x^(2)+x^(2)-46 x+ 529= 289` `implies 2x^(2)- 46x+240 =0implies x^(2)-23 x+120=0` `implies (x-15) (x-8) =0implies x=15 or x=8` ` therefore ` base = 15 cm and height = 8 cm .find the area of the triangle. | |