Question

Find the distance between the points(a.0) and (0,b)
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Answer 1

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.

Answer 2

Step-by-step explanation:

`\sqrt{} (x_(2) - x_(1) ) ^(2) + (y_(2) - y_(1))^(2) \\\\\sqrt{} (0 - a) ^(2) + (b - 0)^(2) \\\\\sqrt{} (0^(2) + a^(2) } - 2ab) + (b^(2) + 0^(2) } - 2xbx0)\\\sqrt{} (0^(2) + a^(2) ) + (b^(2) + 0^(2) )\\\sqrt{} a^(2) + b^(2)`