Sunday

April 20, 2014

April 20, 2014

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

what is the lenght of AD to the nearest tenth of a centimeter?

- geometry -
**Damon**, Wednesday, June 16, 2010 at 9:02pm3,4,5 right trisangle so

hypotenuse = 10

Draw it and note similar triangles ABC, CBD, ACD

call AD = x

then BD = 10-x

the altitude CD = sqrt (36-x^2)

the altitude CD = sqrt (64 -(10-x)^2)

so

36-x^2 = 64 - (10-x)^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

**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), ...

college geometry - Given: right triangle ABC with right angle at C, AC=22 and BC...

geometry - right triangle ABC with right angle C, AC=22 and BC=6, altitude CD ...

Geometry- how to write proof - ABC is a right triangle. Angle C is 90 degree. ...

geometry - In triangle ABC, CD is both the median and the altitude. If AB=5x+3, ...

GEOMetry(TRIANGLE) - ABC is an isosceles triangle where AB=AC and BC=60. D is a ...

Geometry - In right triangle ABC, the median to the hypotenuse has length 15 ...

trigonometry - In the triangle ABC, the sides AB and BC have lengths 7cm and 8cm...

Math - the altitude, AD, to the hypotenuse BC of right triangle ABC divides the ...