Multiple choice

If the base and hypotenuse of a triangle are 12 cm and 15 cm, respectively, then find the perimeter of the triangle?

  1. 34 cm

  2. 36 cm

  3. 38 cm

  4. 40 cm

  5. 42 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In a right triangle, the third side (height) is sqrt(15^2 - 12^2) = sqrt(225 - 144) = sqrt(81) = 9 cm. The perimeter is 12 + 15 + 9 = 36 cm.

AI explanation

Assuming the given sides form a right-angled triangle with the hypotenuse as 15 cm, we use the Pythagorean theorem to find the third side: the square root of 15 squared minus 12 squared. This calculates to the square root of 225 minus 144, which is the square root of 81, or 9 cm. The perimeter is the sum of all sides, 12 + 15 + 9 = 36 cm.

Keep practicing — related questions