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A triangle with sides of length 3 cm, 3 cm, and 7 cm is a right triangle. True or false?

2 Answers

6 votes

In a right triangle, the hypotenuse is always longer than the legs.

If this is a right triangle, then the legs measure 3 cm each and the hypotenuse measures 7 cm.

Now we use the Pythagoras theorem.


The sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.


The legs are a and b.

The hypotenuse is c.


a^2 + b^2 = c^2


3^2 + 3^2 = 7^2


9 + 9 = 49


18 = 49


18 = 49 is false. Since the side lengths make the Pythagorean equation false, the triangle is not a right triangle.


Answer: False

User Tobire
by
8.1k points
2 votes
False a^2+b^2 doesn't = c^2
User Bilal Yasar
by
8.0k points

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