Answer:
b.) [tex]50,48,14[/tex]
Step-by-step explanation:
To find if a set of lengths makes a right triangle, use the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
If a and b squared equal c squared, then the set makes a right triangle. C (the hypotenuse) is the largest number of the set because the hypotenuse is always the largest side in a right triangle.
Use the options:
a.) insert values:
[tex]8^2+14^2=17^2\\64+196=289\\260\neq 289[/tex]
260 does not equal 289, so a is wrong.
b.) insert values:
[tex]14^2+48^2=50^2\\196+2304=2500\\2500=2500[/tex]
2,500 equals 2,500, so b is correct.
Finito.
