Multiple choice

Find the base of a right angled triangle with hypotenuse as 13 cm and height as 12 cm.

  1. 4 cm

  2. 5 cm

  3. 6 cm

  4. 7 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In a right triangle, hypotenuse^2 = base^2 + height^2. 13^2 = base^2 + 12^2. 169 = base^2 + 144. base^2 = 25, so base = 5 cm.

AI explanation

By applying the Pythagorean theorem, we know that the square of the hypotenuse equals the sum of the squares of the other two sides, giving the equation base squared plus 12 squared equals 13 squared. Subtracting 144 from 169 yields 25, so the base squared is 25. Taking the square root gives the base length as 5 cm.

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