SOLUTION: In a right triangle the longest side is 16, the shortest side is 6. What is the length of the third side in simplest radical form?

Question 878760: In a right triangle the longest side is 16, the shortest side is 6. What is the length of the third side in simplest radical form?

Answer by k007sam(3) (Show Source): You can put this solution on YOUR website!
we know by pythorgarus theorem that
(longestside)square = (shortside)square + (shortside)square
therefore shortside = √(longestside)^2 - (shortestside)^2)
= √(16^2 - 6^2)
=√216 - 36
=√180
factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.
so using 36 perfect square,
simplify √180 to get √36x5 = 6√5
read as 6 root 5.
RELATED QUESTIONS
right triangle.the longest side of a right triangle is 3 inches less than twice the... (answered by checkley71)

The shortest side in a 30-60-90 triangle equals 8, what is the length of the longest... (answered by reviewermath)

In a triangle, the perimeter is 121 feet, the shortest side is 15 feet longer than... (answered by ankor@dixie-net.com)

A triangle has a perimeter of 46 cm. The longest side is twice as long as the shortest... (answered by solver91311,jackiewalker123,Alan3354)

The longest side of a right trangle is 3 less than twice the shortest side. The third... (answered by checkley71)

THE LONGEST SIDE OF A RIGHT TRIANGLE IS 4 INCHES MORE THAN THE SHORTEST SIDE. THE THIRD... (answered by josgarithmetic,ikleyn)

The longest side of a right triangle is 5 meters, and the shortest side is 3 meters. What (answered by orca)

The longest side of a right triangle is 3 less than 4 times the shortest side. The third... (answered by lwsshak3)

The medium side of a right triangle is 7 more than the shortest side. The longest side... (answered by DRichardson)