Question

which math sentence can be used to determine if this triangle is a right triangle?

• (12 + 15 = 18)
• (12^2 + 15^2 = 18^2)
• (12 + 18 = 15)
• (12^2 + 18^2 = 15^2)

Explanation:

Identify the side lengths and hypotenuse candidate

$$
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$$

Apply the converse of the Pythagorean theorem

$$ a^2 + b^2 = c^2 $$

Substitute the given values into the equation

$$ 12^2 + 15^2 = 18^2 $$

Answer:

• \(12 + 15 = 18\)
• \(12^2 + 15^2 = 18^2\) (Correct answer)
• \(12 + 18 = 15\)
• \(12^2 + 18^2 = 15^2\)