The length L of the hypotenuse of a right triangle is $L = \sqrt { x ^ { 2 } + y ^ { 2 } }$ where x and y are the lengths of the other two sides. Find the length of the hypotenuse when the other sides measure 1 unit and $\frac { 4 } { 3 }$ units.
A)1 unit
B) $\frac { \sqrt { 7 } } { 2 }$ units
C) $\frac { 25 } { 9 }$ units
D) $\frac { \sqrt { 7 } } { 3 }$ units
E) $\frac { 5 } { 3 }$ units

Question

Quizplus · Accepted Answer

The hypotenuse length is calculated as $L = \sqrt{1^2 + \left(\frac{4}{3}\right)^2} = \sqrt{1 + \frac{16}{9}} = \sqrt{\frac{25}{9}} = \frac{5}{3}$ units.

The Length L of the Hypotenuse of a Right Triangle L=x2+y2L = \sqrt { x ^ { 2 } + y ^ { 2 } }L=x2+y2​

The Length L of the Hypotenuse of a Right Triangle $L = \sqrt { x ^ { 2 } + y ^ { 2 } }$