The Hypotenuse of a trigngle is 9 cm.If one leg of the triangle is 6 cm, find the other leg. Simplify your answer
The Pythagorean Theorem applies to right triangles: c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
The problem says that c = 9 and a = 6. You are to find the value of b.
c² = a² + b² ---> 9² = 6² + b² ---> 81 = 36 + b² ---> 45 = b²
---> b = √45 ---> b = √9√5 ---> b = 3√5
The Pythagorean Theorem applies to right triangles: c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
The problem says that c = 9 and a = 6. You are to find the value of b.
c² = a² + b² ---> 9² = 6² + b² ---> 81 = 36 + b² ---> 45 = b²
---> b = √45 ---> b = √9√5 ---> b = 3√5