Question

5. Tell whether the triangle with side lengths of 28 centimeters, 62 centimeters, and 75

centimeters is a right triangle.

Answer 1

well, let's recall the pythagorean theorem, which applies only the right-triangles, so then, let's take a look at the two smaller sides, 28 and 62 and their sum.

`\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{75}\\ a=\stackrel{adjacent}{28}\\ b=\stackrel{opposite}{62}\\ \end{cases}\qquad 75^2~~ = ~~28^2~~ + ~~62^2 \\\\\\ 5625~~ = ~~784~~ + ~~3844\implies 5625~~ \\e ~~4628\qquad \textit{nope, not a right triangle}`

Answer 2

Answer:no it is not

Explanation:

28 squared + 62 squared does not equal 75 squared