 #1
 Homework Statement
 Use the distance formula and the Pythagorean theorem in terms of working with perpendicular segments.
 Relevant Equations

##distance = \sqrt{(x_2  x_1)^2 + (y_2  y_1)^2}##
(leg)^2 + (leg)^2 = (hypotenuse)^2
For easy calculation, I will use a for m_1 and b for m_2 and then back substitute for a and b.
We have (0, 0) and (1, a).
d_1 = sqrt{(1  0)^2 + (a  0)}
d_1 = sqrt{(1)^2 + (a)^2}
d_1 sqrt{1 + a^2}
For d_2, we are going to need (0, 0) and (1, b).
I say d_2 = sqrt{1 + b^2}.
Backsubstitute for a and b.
d_1 = sqrt{1 + m_1}
d_2 = sqrt{1 + m_2}
To find the distance from (1, m_1) to (1, m_2), I can use the distance formula or the Pythagorean Theorem.
I don't understand this part of the problem:
"Then use the Pythagorean Theorem to find a relationship m_1 and m_2."
Stuck here.
We have (0, 0) and (1, a).
d_1 = sqrt{(1  0)^2 + (a  0)}
d_1 = sqrt{(1)^2 + (a)^2}
d_1 sqrt{1 + a^2}
For d_2, we are going to need (0, 0) and (1, b).
I say d_2 = sqrt{1 + b^2}.
Backsubstitute for a and b.
d_1 = sqrt{1 + m_1}
d_2 = sqrt{1 + m_2}
To find the distance from (1, m_1) to (1, m_2), I can use the distance formula or the Pythagorean Theorem.
I don't understand this part of the problem:
"Then use the Pythagorean Theorem to find a relationship m_1 and m_2."
Stuck here.