Question

Which are measurements of the sides of a right triangle? . A. 202, 198, 40 . B. 28, 26, 12 . C. 17, 14, 6. D. All above?

Answer 1

Option A - 202, 198, 40

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.

Answer 2

"A" is the only one that fits the Pythagorean theorem of a² + b² = c²
40² + 198² = 202² ^^
1600+39204=40804
40804=40804