The sides of the right triangle are and
.
The hypotenuse is .
Find .
(Pythagorean theorem)
(Substitute
and
)
(Algebraic formula:
)
(Evaluate powers
and
)
(Multiply)
(Subtract
from each side)
(Apply additive inverse property:
)
(Simplify)
(Factors of the the equation)
(Group of the factors)
(Take out common terms)
and
(Separate solutions)
and
(Simplify)
Measurements cannot be negative.
\Therefore, .
Find and
.
and
(Original values)
and
(Substitute
in the values)
and
(Addition:
)
Therefore, the values are ,
and
.
,
and
.