Question

The perimeter of right angle triangle is 60cm if It's hypotenuse is 26cm find the other two sides

Answer 1

x+y+z=60

z=26

x+y=34.....1

by pythagoras theorem

xsquare+ y square= zsquare

(x+y)square- 2xy= 26×26

34×34- 2xy= 676

1156-2xy= 676

2xy= 480

xy= 240....2

now from equation 1 and 2

xy= 240

x+y=34

x= 34-y

(34-y)y= 240

34y-ysquare=24

ysquare -34y+240= 0

y square - 24y- 10y +240=0

y(y-24)-10(y-24)=0

y-24=0. y-10=0

y=24. y=10

x=10. x=24