The legs of a right-angled triangle are 9 cm and 12 cm. Determine the length of the median of this triangle.
| September 10, 2021 | education
Finding the length of the median in a right-angled triangle is easy! It is enough to know a couple of theorems!
1. Pythagorean theorem:
The length of the hypotenuse is equal to the sum of the squares of the lengths of the leg.
2. The median theorem:
The median drawn from the top of the right angle is half the hypotenuse.
As a result, we have two legs: 9cm and 12cm.
We can find the hypotenuse: sqrt 9 ^ 2 + 12 ^ = √225 = 25.
Well, let’s use the second theorem, in the end we get that our median is 25/2 = 12.5 cm.
Answer: Median length = 12.5 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.
