The leg of a right-angled triangle is 6 cm, and its projection onto the hypotenuse is 4 cm. Find the hypotenuse.
| May 5, 2021 | education
The projection of the leg onto the hypotenuse can be found by the formula n = a² ÷ c. Where n is the projection of the leg, a is the leg, c is the hypotenuse. Hence the hypotenuse can be found by the formula c = a² ÷ n.
Let’s find the hypotenuse.
s = (6 cm) ² ÷ 4 cm = 36 cm² ÷ 4 cm = 9 cm.
Answer: The hypotenuse is 9 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.
