Posted by verenice on Friday, February 11, 2011 at 10:07am.
Let 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
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 - how long are the congruent legs of isosceles triangle if its base ...
geometry - how long are the congruent legs of isosceles triangle if its base ...
geometry - how long are the congruent legs of isosceles triangle if its base and...
Geometry - In ^DEF, the bisector of <F divides the opposite sides into ...
geometry - In triangle ABC, • AB is x cm long • BC is twice the length...
geometry - a right triangle has legs of length 3x and 4x and hypotenuse of ...
geometry - the area of a right triangle is 12 in ^2. the ratio of the lengths of...
For Further Reading
