SOLUTION: For each of the following, determine whether the measures represent sides of a right triangle. a. 5 cm, 12 cm, 13 cm b. 40 cm, 60 cm, 104 cm

Algebra ->  Length-and-distance -> SOLUTION: For each of the following, determine whether the measures represent sides of a right triangle. a. 5 cm, 12 cm, 13 cm b. 40 cm, 60 cm, 104 cm       Log On


   

Question 363497: For each of the following, determine whether the
measures represent sides of a right triangle.
a. 5 cm, 12 cm, 13 cm
b. 40 cm, 60 cm, 104 cm
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

Do the measures represent sides of a right triangle

Using the Pytahgorean Theorem to verify

Does 5^2 + 12^2 = 13^2  Yes

Does 40^2 + 60^2 = 104^2 No





*Note: sum of the lengths of two sides of a triangle must be 'GREATER' than the third side

option b would not only not represent a right triangle,with sides listed,

option b would not represent 'any' triangle. 100 < 104