Find the distance between the points (a, 0) and (0, b).

d = sqrt( a^2 + b^2)

Step-by-step explanation:

Formula

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2  )

Givens

x1 = a

x2 = 0

y1 = 0

y2 = b

Solution

d = sqrt( (0 - a)^2 + (b - 0)^2 )

d = sqrt( a^2 + b^2)

which is another way of writing the Pythagorean theorem.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6