Select whether the given side lengths of a triangle form a right triangle. 3 cm, 4 cm, 5 cm 8 m, 10 m, 15 m 6 in., 8 in., 10 in. 5 cm, 12 cm, 13 cm Form a Right Triangle Do Not Form a Right Triangle

To determine if the given side lengths form a right triangle, we can use the Pythagorean theorem, which states that for a triangle with sides a, b, and c (where c is the longest side), the triangle is a right triangle if:

a² + b² = c²

Let’s check each set of side lengths:

1. 3 cm, 4 cm, 5 cm

– 3² + 4² = 9 + 16 = 25

– 5² = 25

– Form a Right Triangle

2. 8 m, 10 m, 15 m

– 8² + 10² = 64 + 100 = 164

– 15² = 225

– Do Not Form a Right Triangle

3. 6 in., 8 in., 10 in.

– 6² + 8² = 36 + 64 = 100

– 10² = 100

– Form a Right Triangle

4. 5 cm, 12 cm, 13 cm

– 5² + 12² = 25 + 144 = 169

– 13² = 169

– Form a Right Triangle

In summary:

– 3 cm, 4 cm, 5 cm: Form a Right Triangle

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