In a right-angled triangle, the length of the hypotenuse is 15 cm. The cosine of one of the corners is 3/5

In a right-angled triangle, the length of the hypotenuse is 15 cm. The cosine of one of the corners is 3/5. What is the larger leg?

Let’s determine what value the leg will be equal to, which is adjacent to the angle, whose cosine according to the condition of the task is 3/5, if from the condition of our task we know that the hypotenuse is 15 centimeters:

15 * 3/5 = 9.

Now we can determine what the length of the other leg will equal, for which we will use the Pythagorean formula known from the school course:

√ (15 ^ 2 – 9 ^ 2) = √ ((15 – 9) * (15 + 9)) = √ (6 * 24) = 12.

Let’s compare the found legs:

12> 9.

Answer: The largest leg will be 12 cm.