The larger leg of a right triangle is 3 cm longer than its smaller leg. the hypotenuse is 6 cm longer than the smaller leg. how many centimeters long is the smaller leg?

I will choose the symbol * to expess  square

(x)*+(X+3)*=(x+6)*

x*+(X*+6x+9)=x*+12x+36)

2x*+6x+9=x*+12x+36

2x*-x*+6x-12x+9-36=0

x*-6x-27=0

factor this:

(x+3) (x-9)=0

(x+3)=0   x=-3  NO

(x-9)  x=9 YES

SMALL SIDE 9

MEDIAN 9+3=12

HYPOTENUSE 9+6=15

9*+12*=15*

81+144=225

225=225

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .