Multiple choice

The hypotenuse of a right-angled triangle measures 26 cm. What is the area of the triangle?

  1. 240 sq.cm

  2. 120 sq.cm

  3. 60 sq.cm

  4. Cannot be determined

  5. 180 sq.cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The area of a right triangle is 1/2 * base * height. While the hypotenuse is 26, the individual legs are not fixed; they could be any pair (a, b) such that a^2 + b^2 = 26^2. Thus, the area cannot be determined.

AI explanation

The area of a right-angled triangle requires the lengths of its two legs, calculated as one half times base times height. Knowing only the length of the hypotenuse does not specify the base and height, as there are infinitely many Pythagorean triples or real numbers that could form a hypotenuse of 26 cm. Therefore, the area cannot be uniquely calculated from the given information.

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