# math(geometry)

posted by Hoema

find the altitude on hypotenuse if a=6cm and b=8cm?

1. Ms. Sue

I'm guessing that you mean the hypotenuse is 8 cm.

a^2 + c^2 = b^2

6^2 + c^2 = 8^2

36 + c^2 = 64

c^2 = 64 - 36

c^2 = 28

c = 5.2915

If you need to find the hypotnuse -- then

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

10 = c

The second solution is probably the one you need.

2. Ms. Sue

I think I understand now. You are looking for the LENGTH of the hypotenuse.

3. Steve

or, if D is the foot of the altitude on the hypotenuse AB, then by similar triangles

CD/CA = CB/AB
CD/6 = 8/10
CD = 48/10 = 4.8

## Similar Questions

1. ### Geometry- how to write proof

ABC is a right triangle. Angle C is 90 degree. Altitude CD is drawn to hypotenuse AB. Prove AB/BC = BC/BD and AB/AC = AC/AD This is a theorem. How do I prove it?
2. ### geometry

In the diagram below, the length of the legs AC and BC of right triangle ABC are 6cm and 8cm, respectively.Altitude CD is drawm to the hypotenuse of triangle ABC. what is the lenght of AD to the nearest tenth of a centimeter?
3. ### geometry

The altitude upon the hypotenuse of a right triangle divides the hypotnuse into segments of 3 and 12. find the length of the altitude
4. ### geometry

The hypotenuse of a right triangle is 8cm and one leg is 6cm. Find the length of the other leg. How did my teacher end up with 2 x square root of 7?
5. ### 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?
6. ### 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 …
7. ### 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.
8. ### Geometry

I need help in this problem: A 14-foot ladder is leaning against a house so that its top touches the top of the wall. the bottom of the ladder is 8 feet away from the wall. which of these can be used to find the height of the wall?
9. ### Geometry

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 6 inch and 10 inch long, Find the length h of the altitude.
10. ### maths

in a adjoining figure,CAB is right angled triangle where AC=4cm(height),AB =3cm(base),and BC=5cm (hypotenuse),and AD is a altitude from BC .then find the length of altitude from A toBC,if its area is 6cm square.

More Similar Questions