What is the median of a right-angled triangle with legs 30 and 40 drawn to the hypotenuse?
| August 10, 2021 | education
Let’s find the length of the hypotenuse of a right-angled triangle using the Pythagorean theorem.
c = √ (30 ^ 2 + 40 ^ 2) = √ (900 + 1600) = √2500 = 50 units.
The median divides the hypotenuse in half, and the median in a right-angled triangle drawn to the hypotenuse is equal to half of the hypotenuse.
50: 2 = 25 units.
Answer: The median is 25 units.
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