Respuesta :
"A" is the only one that fits the Pythagorean theorem of a² + b² = c²
40² + 198² = 202² ^^
1600+39204=40804
40804=40804
40² + 198² = 202² ^^
1600+39204=40804
40804=40804
Answer:
Option A - 202, 198, 40
Step-by-step explanation:
To find : Which are measurements of the sides of a right triangle?
Solution :
To form a right angle triangle the sides of the triangle satisfy the Pythagorean theorem.
i.e. [tex]a^2=b^2+c^2[/tex]
where, a is the longest side and b and c are the shorter sides.
Now, we apply this property in given sides and find the right angles.
Option A - 202,198,40
a=202 , b=198 , c=40
[tex]202^2=198^2+40^2[/tex]
[tex]40804=39204+1600[/tex]
[tex]40804=40804[/tex]
So, These sides form a right angle triangle.
Option B - 28,26,12
a=28 , b=26 , c=12
[tex]28^2=26^2+12^2[/tex]
[tex]784=676+144[/tex]
[tex]784\neq 820[/tex]
So, These sides do not form a right angle triangle.
Option C - 17,14,6
a=17 , b=14 , c=6
[tex]17^2=14^2+6^2[/tex]
[tex]289=196+36[/tex]
[tex]289\neq 232[/tex]
So, These sides do not form a right angle triangle.
Therefore, Option A is correct.