Which set of lengths cannot form a right triangle? a 20 mm, 48 mm, 52 mm b 10 mm, 24 mm, 26 mm c 11 mm, 24 mm, 26 mm d 5 mm, 12 mm, 13 mm?

Here some set of lengths given. We have to find which set of lengths can not form a right triangle.

To check whether it is a right triangle or not we will use Pythagoras theorem. If it holds true then the set will form a right triangle and if it is not true then it will not form a right triangle.

The Pythagoras theorem is , where c = hypotenuse which is the largest length of the sides, a and b are other two sides.

The first set is, 20mm, 48mm, 52mm.

So here c = 52 as it is the largest side. We can take a and b any of the lengths 20 and 48. By substituting the values we will get,

The Pythagoras theorem holds true here. So this set will form a right angled triangle.

The second set is, 10mm, 24mm, 26mm.

By substituting the values we will get,

The Pythagoras theorem holds true here. So this set will form a right angled triangle.

The third set is, 11mm, 24mm, 26mm.

By substituting the values we will get,

The Pythagoras theorem does not hold true here. So this set will not form a right angled triangle.

The fourth set is, 5mm, 12mm, 13mm.

By substituting the values we will get,

The Pythagoras theorem holds true here. So this set will form a right angled triangle.

We have got the required answer. Option C is correct here.

step-by-step explanation:

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.