Answer:
Yes, the three segments 16,30,34 make a right triangle.
Step-by-step explanation:
The three segments are the following 16,30, and 34.
We will use the Pythagorean Theorem to find out if the three numbers can make a right triangle.
- [tex]a^2+b^2=c^2[/tex]
When we have 3 numbers given, our largest number is the hypotenuse.
So 34 is our hypotenuse, so we substitute it as the c in our formula.
And our a^2 and b^2 are 16 and 30!
- [tex]16^2+30^2=34^2\\256+900=1156\\1156=1156[/tex]
Our formula verifies that the three segments provided can make a right triangle.
