In a right-angled triangle, the leg and hypotenuse are 40 and 50. Find another leg?

To complete this task, you need to remember the Pythagorean theorem.

According to the Pythagorean theorem in a right-angled triangle, the sum of the squares of the legs is equal to the square of the hypotenuse, we write the formula in mathematical form;

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

Where “a” and “b” legs of a right-angled triangle, and “c” is the hypotenuse of the same triangle;

Since, according to the problem statement, we know one of the legs and the hypotenuse, we will express the second leg from the formula and substitute the values;

Let’s express the second leg;

в = √ (c ^ 2 – a ^ 2);

Let’s substitute the data;

c = √ (50 ^ 2 – 40 ^ 2) = √ (2500 – 1600) = √900 = 30.