Respuesta :

  "A" is the only one that fits the Pythagorean theorem of a² + b² = c²
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.

ACCESS MORE
EDU ACCESS