Correct Answer - base = 15 cm, altitude = 8 cm , hypotenuse = 17 cm
Let the base be x cm. Then, hypotenuse `=(x+2)cm.`
`(x+2)-(2xx"altitude")=1implies2xx" altitude"=(x+1)`
`implies" altitude "=(1)/(2)(x+1)cm.`
`:." "(x+2)^(2)=x^(2)+(1)/(4)(x+1)^(2)implies4(x+2)^(2)=4x^(2)+(x+1)^(2)`
`implies" "4(x^(2)+4x+4)=5x^(2)+2x+1impliesx^(2)-14x-15=0`
`implies" "(x-15)(x+1)=0impliesx=15.`