SOLUTION: what is the greatest and smallest possible integral lengths of the hypotenuse of the right triangle if the two sides measures 8 cm and 5 cm?

Question 815608: what is the greatest and smallest possible integral lengths of the hypotenuse of the right triangle if the two sides measures 8 cm and 5 cm?

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
use pythagorean thm:
h = sqrt( aa + bb )
---
h = sqrt( 8*8 + 5*5 )
h = sqrt( 64 + 25 )
h = sqrt( 89 )
h = 9.434
---
Answer:
this is a trick question.
this triangle cannot have a hypotenuse with an integral length (i.e. a hypotenuse whose length is an integer value).
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
RELATED QUESTIONS
if the sum of the lengths of two sides of a triangle is 18, what is the largest possible... (answered by Alan3354,stanbon)

if the two sides of a right triangle have lengths 8 and 3, then what is the length of the (answered by Alan3354)

I'm trying to solve this Question. "One leg of a triangle is 48 units long. The other two (answered by Fombitz)

The sides of a triangle all have integer lengths. two sides have lengths 7 and 10. if... (answered by Alan3354)

The following are the lengths of two sides of a right triangle: 24 yd and the hypotenuse... (answered by jorel1380)

compute the smallest positive integer x for which (180*x) is a perfect cube an (answered by Alan3354)

What is the smallest possible area for a triangle of integral side lengths whose... (answered by ikleyn)

If the lengths of the sides of a right triangle are 5 units and 12 units, what is the... (answered by solver91311)

A right triangle has an area of 84 ft^2 and a hypotenuse that is 25 ft long. What are the (answered by mananth)