Question

Tell if the measures 6, 14, and 13 make a triangle that is acute, right, or obtuse.

Answer 1

Right angle - c²=a²+b²

Obtuse angle - c²>a²+b²

Acute angle - c²<a²+b²

To see which ones go into a, b, and c, know that the largest number is the hypotenuse (variable c). The other two letters can be either a or b, so it doesn't matter which place they are put it because you will get the same answer.

right angle 14²=6²+13²

196=36+169

196≠205

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obtuse angle 14²>6²+13²

196>36+169

196>205 is false

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So since it is not a right angle or an obtuse angle, that means that it's a right angle because it's the only option left. Though we now know that's the answer, I will still put down the steps.

acute angle 14²<6²+13²

196<36+169

196<205 is true so it's an acute triangle.

Hope this helps, now you know the answer and how to do it. Stay safe and healthy and HAVE A BLESSED AND WONDERFUL DAY! :-)  

- Cutiepatutie ☺❀❤