# How does the altitude to the hypotenuse of a right triangle divide the triangle?

## How does the altitude to the hypotenuse of a right triangle divide the triangle?

Theorem 8-7: In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.

## What is the length of the altitude drawn from the right angle to the hypotenuse?

geometric mean
The length of the altitude drawn from the vertex of the right angle of the right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

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When an altitude is drawn to the hypotenuse of a given right triangle the new figure comprises two similar triangles True or false?

Theorem 62: The altitude drawn to the hypotenuse of a right triangle creates two similar right triangles, each similar to the original right triangle and similar to each other. Figure 2 shows the three right triangles created in Figure .

### What is the altitude to the hypotenuse of a right triangle?

The altitude to the hypotenuse of a right triangle has length 2 cm. If it separates the hypotenuse into segments that have lengths of 4 cm and 1 cm, what are the lengths of the two legs of the triangle? GIVEN: Triangle ABC , right angled at B.

### How many segments does the hypotenuse of a right triangle divide into?

SOLUTION: The altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into two segments, whose lengths are 8″ and 18″.

How many similar right triangles does the altitude create?

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Theorem 62: The altitude drawn to the hypotenuse of a right triangle creates two similar right triangles, each similar to the original right triangle and similar to each other. Figure 2 shows the three right triangles created in Figure . They have been drawn in such a way that corresponding parts are easily recognized.