The two right sides of a right triangle are 3 and 4, and the hypotenuse is 5. What is the height of the hypotenuse?

The two right sides of a right triangle are 3 and 4, and the hypotenuse is 5. What is the height of the hypotenuse?


Area of right triangle s = 3 * 4 * 1 / 2 = 6
And the hypotenuse multiplied by the height of the hypotenuse, and then multiplied by 1 / 2, is still the triangle area of 6
Therefore, the height on the hypotenuse = 6 * 2 / 5 = 12 / 5 = 2.4



The side length of a right triangle: the vertical side is 2 meters, and the horizontal side is 3 meters. This is a right angle. How long is the oblique side? The exact length and formula are all right


The length of the hypotenuse is the sum of the squares of the lengths of the two right angles
4 + 9 = 13,13 is the length of the hypotenuse, which is about 3.61



It is known that a, B and C are the lengths of three sides of a right triangle and C is the hypotenuse. If the point (m, n) is on the straight line ax + by + C = 0, then the minimum value of (m square + n square) is


For better understanding, you can try to draw a right triangle with three sides of 3, 4 and 5, and calculate the two points intersecting with the coordinates, which are represented by letters (0, - C / b), (- C / a). The minimum sum of squares of points (m, n) is actually the shortest distance from the origin to the line, That is, the distance from a point to a straight line. It can be calculated by the equal area method