SOLUTION: For each of the following, can the measures represent sides of a right triangle? Please explain your answers so I can better understand the process. Thank you. (a) 3 m, 4 m, 5 m

Algebra ->  Parallelograms -> SOLUTION: For each of the following, can the measures represent sides of a right triangle? Please explain your answers so I can better understand the process. Thank you. (a) 3 m, 4 m, 5 m       Log On


   

Question 193680: For each of the following, can the measures represent sides of a right triangle? Please explain your answers so I can better understand the process. Thank you.
(a) 3 m, 4 m, 5 m ________
(b) sq root of 2 cm, sq root of 3 cm, sq root of 5 cm _______
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


It all boils down to Pythagoream Theorem for Right Triangles.

Let us see.
a)3m, 4m, 5m
letsystem%28a=3%2Cb=4%2Cc=5%29, * Remember: hyp. is the longest side
Pyth Theorem: --> hyp%5E2=adj%5E2%2Bopp%5E2 ---> c%5E2=a%5E2%2Bb%5E2
5%5E2=3%5E2%2B4%5E2
25=9%2B16
25=25, good.

Therefore, the measures can represent the sides.


b)sqrt%282cm%29,sqrt%283cm%29, sqrt%285cm%29
letsystem%28a=sqrt%282%29%2Cb=sqrt%283%29%2Cc=sqrt%285%29%29
Then,
c%5E2=a%5E2%2Bb%5E2
%28sqrt%285%29%29%5E2=%28sqrt%282%29%29%5E2%2B%28sqrt%283%29%29%5E2
5=2%2B3
5=5, good
The measures can represent the sides.


Thank you,
Jojo