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. \(a^2=b^2+c^2\)
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
\(202^2=198^2+40^2\)
\(40804=39204+1600\)
\(40804=40804\)
So, These sides form a right angle triangle.
Option B - 28,26,12
a=28 , b=26 , c=12
\(28^2=26^2+12^2\)
\(784=676+144\)
\(784
eq 820\)
So, These sides do not form a right angle triangle.
Option C - 17,14,6
a=17 , b=14 , c=6
\(17^2=14^2+6^2\)
\(289=196+36\)
\(289
eq 232\)
So, These sides do not form a right angle triangle.
Therefore, Option A is correct.
