SOLUTION: Hello! I need help with this triangle problem. Thanks! The sides of a right triangle are 6, 8, and 10. Find the altitude drawn to the hypotenuse.

Question 771064: Hello! I need help with this triangle problem. Thanks!
The sides of a right triangle are 6, 8, and 10. Find the altitude drawn to the hypotenuse.
Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
This is a 3-4-5 with each side multiplied by
Let = altitude
The altitude divides the 10-side into and

------------
The two right triangles formed have sides
, , and
also
, , and
--------------------------

and

-------------------------
Eliminate and solve for
I have to run

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
here is what we use to solve this problem:
The Pythagorean Theorem:

given:
, , and
If an altitude is drawn to the hypotenuse of a right triangle, then each leg is the geometric mean between the hypotenuse and its touching segment on the hypotenuse.
by this theorem, and
first find and :

then the altitude

or

RELATED QUESTIONS
How do I do this? Find the altitude of the triangle. The shape is a triangle with... (answered by checkley75)
I badly need help with this problem, can someone please have an illustration of how it... (answered by ikleyn)
A problem that is not in the book - can you help me solve? Thanks A right triangle... (answered by checkley75)
hello.. please help me solve this problem. I urgently need it tomorrow. please?? I... (answered by richwmiller)
if there is a triangle, the measurements of the three sides are 6, 8, and 10. what is the (answered by KMST)
Please help me solve this. I need to find the altitude of a triangle. The bottom... (answered by Nate)
Need Help with this problem. 4) A right triangle is a triangle with one angle... (answered by venugopalramana)
Tutor, I am not sure how to solve this problem. Could I get some help with this? (answered by edjones)
Find the altitude of the longest side of a triangle with sides of 12, 10, and... (answered by richard1234)