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The end points of the hypotenuse of a right triangle are (5,-8) and (-3,4). Find the

length of the hypotenuse.

User Paulogdm
by
8.8k points

1 Answer

3 votes

Answer:

4√13 or

14.42 units to the nearest hundredth.

Explanation:

Basically we use the Pythagoras theorem:

Length = √[(5 - (-3))^2 + (-8 - 4)^2]

= √(64 + 144)

= √208

= √16 * √13

= 4√13

or

= 14.42 units.

User Oscar Kjell
by
8.1k points