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
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
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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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