Answer:
Yes, the three segments 16,30,34 make a right triangle.
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.
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![a^2+b^2=c^2](https://img.qammunity.org/2022/formulas/mathematics/college/a7evvahf9asnkyok9myxuf24e8ciywglc7.png)
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!
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![16^2+30^2=34^2\\256+900=1156\\1156=1156](https://img.qammunity.org/2022/formulas/mathematics/high-school/2bfe2nxdy2jkk2y5vbgs0ujxb8h9w0xyn5.png)
Our formula verifies that the three segments provided can make a right triangle.