Saturday

December 20, 2014

December 20, 2014

Posted by **verenice** on Friday, February 11, 2011 at 10:07am.

- geometry -
**Reiny**, Friday, February 11, 2011 at 10:24amLet ABC be the right-angled triangle with angleB = 90°

let the bisector angle B be BD where D is on the hypotenuse AC

We know that AD : DC = areaABD : areaBCD

areaABD = (1/2)(12)(BD)sin45°

areaBCD = (1/2)(5)(BD)sin45°

then areaABD : areaBCD = 12 : 5

so AD = (12/17)(13) = 9.2

and DC = 13-9.2 = 3.8

**Answer this Question**

**Related Questions**

Geometry - The legs of a right triangle are 5cm and 12 cm long. Find the ...

math - The legs of a right triangle are 3 and 4 units long. Find the lengths, to...

geometry - An angle bisector of a triangle divides the opposite side of the ...

Geometry - In ^DEF, the bisector of <F divides the opposite sides into ...

geometry - A. Derive the distance formula (d) shown below for points A = (x1, y1...

maths - a right angled triangle has legs a,b (a is greater than b).the right ...

geometry - the area of a right triangle is 12 in ^2. the ratio of the lengths of...

geometry - the area of a right triangle is 12 in ^2. the ratio of the lengths of...

Math - 1) The hypotenuse of an isosceles right triangle is 8 cm longer than ...

geometry - I need to figure out this proof, the figure is two triangles forming ...