Respuesta :
Answer:
Yes, itis a right triangle (Brainliest pls :3)
Step-by-step explanation:
Using the hypotenuse formula you can calculate it
Yes it is a right triangle.
Given that,
A triangle has sides with lengths of 28 feet, 96 feet, and 100 feet.
We have to determine,
Is it a right triangle.
According to the question,
To determine if a triangle contains a right angle using Pythagoras' theorem.
If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.
Therefore,
By Pythagoras theorem,
[tex](Hypotenuse)^{2} = \ (Base)^{2} +\ ( perpendicular)^{2}\\[/tex]
The triangle has sides with lengths of 28 feet, 96 feet, and 100 feet.
Then,
The squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.
[tex]=(28)^{2} + (96)^2 = (100)^2\\\\= 784 + 9216 = 10000\\\\10000 = 10000[/tex]
It is a right angle triangle.
Hence, Yes it is a right triangle.
To know more about Triangle click the link given below.
https://brainly.com/question/22848383