Posted by Jacqueline on Wednesday, June 16, 2010 at 8:15pm.
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?

geometry  Damon, Wednesday, June 16, 2010 at 9:02pm
3,4,5 right trisangle so
hypotenuse = 10
Draw it and note similar triangles ABC, CBD, ACD
call AD = x
then BD = 10x
the altitude CD = sqrt (36x^2)
the altitude CD = sqrt (64 (10x)^2)
so
36x^2 = 64  (10x)^2
36  x^2 = 64  ( 100 20 x + x^2)
36  x^2 = 36 + 20 x  x^2
72 = 20 x
x = 72/20 = 3.6

geometry  bob, Monday, May 26, 2014 at 3:44pm
ur mom
Answer This Question
Related Questions
 Geometry  In the diagram below, the length of the legs AC and BC of right ...
 Math(Geometry)  In the diagram below(no diagram but details will be provided), ...
 Geometry  In right triangle ABC, the median to the hypotenuse has length 15 ...
 math  In isosceles right triangle ABC, point D is on hypotenuse BC such that AD...
 Geometry  The altitude to the hypotenuse of a right triangle ABC divides the ...
 Math  the right triangle ABC, the altitude from vertex C divides the hypotenuse...
 geometry  right triangle ABC with right angle C, AC=22 and BC=6, altitude CD ...
 geometry  Jim has put a fence along the side AC of the triangular patch of land...
 geometry  triangle ABC is an isosceles right triangle. The endpoints of the ...
 college geometry  Given: right triangle ABC with right angle at C, AC=22 and BC...
More Related Questions