# math

posted by .

The legs of a right triangle are 3 and 4 units long. Find the lengths, to the nearest tenth, of the segments into which the bisector of the right angle divides the hypotenuse. (Hint: Draw a picture of the triangle, label one segment of the hypotenuse "x," and solve. Then, move the "x" to the other segment of the hypotenuse and solve.)

• math -

the angle bisector theorem says that the hypotenuse of length 5 is divided into two parts in the ratio of 3:4, so the lengths would be 15/7 and 20/7

• math -

the lengths would be 15/7 and 20/7

## Similar Questions

1. ### geometry

the legs of a right angled triangle are 5 cm and 12cm long. find the lengths, to the tenth, of the segment into which the bisector of the right angle divides the hypotenuse.
2. ### math-triangles

finding the hypotenuse for triangles with only one measure of 7.8 m and two angles with degrees of 90 and 40. The picture is a right triangle with the right angle on the bottom left(labeled S). The hypotenuse goes from the top left(making …
3. ### math

I have 14 questions and I was wondering if someone could check my answers. This is a do or die situation. If I don't get an A, I may not get to graduate. I really appreciate you taking your time to double check theses for me. Thanks …
4. ### Geometry

The legs of a right triangle are 5cm and 12 cm long. Find the lengths, to the nearest tenth, of the segments into which the bisector of the right angle divides the hypotenuse.
5. ### geometry

An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the triangle. …
6. ### Geometry

The altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. What is the length of the altitude?
7. ### Geometry

In ^DEF, the bisector of <F divides the opposite sides into segments that are 4 and 9in long. The side of the triangle adjacent to the 4 in. segment is 6in long. To the nearest tenth of an inch, how long is the third side of the …
8. ### Geometry

The altitude to the hypotenuse of a right triangle ABC divides the hypotenuse into 12mm and 16mm segments. Find the lengths of each of the following. A. The altitude to the hypotenuse B. The shorter leg of angle ABC C. The longer leg …
9. ### Math

the altitude, AD, to the hypotenuse BC of right triangle ABC divides the hypotenuse into segments that are 8 and 10 cm long. find the length of the altitude.
10. ### geometry

What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?

More Similar Questions

Post a New Question