Question

if the side lengths of a triangle make the equation a² + b² = c² true, then the triangle is a right triangle. if the side lengths do not make that equation true, then the triangle is not a right triangle. 7 cm 6 cm 5 cm a² + b² = c² 5² + 6² ≠ 7² 61 ≠ 49 the triangle dropdown a right triangle.

Explanation:

Step1: Identify sides

Let \(a = 5\), \(b = 6\), \(c = 7\) (hypotenuse is longest, \(c = 7\)).

Step2: Apply Pythagorean theorem

Calculate \(a^2 + b^2\) and \(c^2\).
\(a^2 = 5^2 = 25\), \(b^2 = 6^2 = 36\), so \(a^2 + b^2 = 25 + 36 = 61\).
\(c^2 = 7^2 = 49\).

Step3: Compare values

Check if \(61 = 49\). Since \(61
eq 49\), \(a^2 + b^2
eq c^2\).

Answer:

is not