If a triangle has sides of lengths 3, 4, and 5 units, then it is a right triangle. all right triangles have an area equal to one half the product of the two smaller side lengths. which statement is valid, based on deductive reasoning?
a. a polygon has an area of 6 square units if it is a triangle.

b. a triangle has a perimeter of 12 units if its sides are consecutive integers.

c. if a triangle has side lengths 3, 4, and 5 units, then its area is 6 square units.

d. if a triangle has side lengths 4, 5, and 6 units, then its area is 10 square units.

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If a triangle has side lengths 3, 4, and 5 units, then its area is 6

Step-by-step explanation:

Deductive reasoning represents an important form of logical reasoning in which a conclusion is based on the concordance of multiple premises that are generally assumed to be true

we have

If a triangle has side lengths 3, 4, and 5 units, then its area is 6

we know that

1) If triangle has side lengths 3, 4 and 5, then is a right triangle because satisfy the Pythagoras Theorem

2) All right triangles have an area equal to one  half the product of the two smaller side lengths

substitute the values therefore

The statement is valid based on deductive reasoning

the answer is b