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A right triangle has a right angle (90º) and two acute angles. ## Legs or Catheti

The catheti (singular: cathetus) are the sides opposite the acute angles and are the shorter sides of the right triangle.

## Hypotenuse

The hypotenuse is the side opposite the right angle, and is the largest side of the right triangle.

### Area of a Right Triangle

The area of a right triangle is equivalent to half the product of its legs.  ### 2

In all right triangles, the length one of the legs is a mean proportional between the hypotenuse and the projection on it.   ### 3

In all right triangles, the height of the hypotenuse is a mean proportional between the two segments that it divides.  The hypotenuse of a right triangle measures 30 cm and the projection of a leg is 10.8 cm on the hypotenuse. Find the length of the other leg.   In a right triangle, the projections of the legs on the hypotenuse are 4 and 9 cm in length. Calculate the height of the triangle.   Did you like the article?     (1 votes, average: 1.00 out of 5) Loading...

Emma

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