Mathématiques Collège

TARIK TAMBANG PHYTAGORAS

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In a right-angled triangle, what is the fundamental relationship defined by the Pythagorean theorem?

A The sum of the two shorter sides equals the longest side.

B The product of the two shorter sides equals the square of the hypotenuse.

C The square of the hypotenuse is equal to the sum of the squares of the other two sides.

D The hypotenuse is always equal to the sum of the other two sides.

If a right triangle has legs measuring 3 cm and 4 cm, what is the length of the hypotenuse?

A 5 cm

B 25 cm

C 12 cm

D 7 cm

Which of the following sets of side lengths represents a valid right-angled triangle?

A 6 cm, 8 cm, 12 cm

B 2 cm, 3 cm, 4 cm

C 1 cm, 1 cm, 2 cm

D 5 cm, 12 cm, 13 cm

How can the Pythagorean theorem be used to determine if a triangle is NOT a right triangle?

A By confirming that all three sides are of equal length.

B By checking if the sum of all angles is 180 degrees.

C By measuring the perimeter of the triangle.

D By verifying if the square of the longest side is unequal to the sum of the squares of the other two sides.

In the triangle formula a^2 + b^2 = c^2, what specific condition must be met for the formula to be applicable?

A The triangle must have all sides of different lengths.

B The triangle must contain exactly one 90-degree angle.

C The triangle must be an equilateral triangle.

D The triangle must have at least one obtuse angle.

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