Mathematics
Mathematics
Problem
Find the value of so that 11 cm, 60 cm and cm can be the sides of a right triangle. a) b) c) d)Intuitive explanation
The key insight is the Pythagorean theorem: in any right triangle, the sum of the squares of the two shorter sides equals the square of the longest side. Here, you need to figure out which of your three lengths is the hypotenuse (the longest side opposite the right angle), then apply to solve for . Since 60 cm is already quite long, consider whether it's the hypotenuse or one of the legs.
Intuitive explanation
The key insight is the Pythagorean theorem: in any right triangle, the sum of the squares of the two shorter sides equals the square of the longest side. Here, you need to figure out which of your three lengths is the hypotenuse (the longest side opposite the right angle), then apply to solve for . Since 60 cm is already quite long, consider whether it's the hypotenuse or one of the legs.