In a right-angled triangle with a hypotenuse c, one of the legs is a. find the second leg if: c = 9 a = 6

univerkov | July 20, 2021 | education

You need to solve the problem using the Pythagorean theorem. The square of the hypotenuse is equal to the sum of the squares of the legs:

c ^ 2 = a ^ 2 + b ^ 2;

b ^ 2 = c ^ 2 – a ^ 2;

b ^ 2 = 9 ^ 2 – 6 ^ 2;

b ^ 2 = 81 – 36;

b ^ 2 = 45;

b = √45;

b = 3√5.

Answer: leg b of a right-angled triangle abc is 3√5 cm.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.