randomTriangleAngles.triangle()
[ [ 0, 1 ], [] ]
[ [ 1 ], [ 2] ]
function(){
var trA = new Triangle( [ 5, -8 ], ANGLES , 14 , {} );
trA.boxOut( [ [ [ 0, -10 ], [ 0, 10 ] ] ], [ 0.4 , 0 ] );
trA.boxOut( [ [ [ 11 , -10 ], [ 11, 10 ] ] ], [ -0.4 , 0 ] );
return trA;
}()
function(){
var pointD = findIntersection( bisectAngle( TR_A.sides[ 0 ], reverseLine( TR_A.sides[ 2 ] ), 1 ), TR_A.sides[ 1 ] );
return pointD;
}()
function(){
var trB = new Triangle( [0,0],[], 3, {}, [ TR_A.points[ 0 ], TR_A.points[ 1 ], POINT_D ] );
trB.labels = { "angles" : clearArray( trB.niceAngles, [ 0 ] ), "sides" : mergeArray( clearArray( trB.niceSideLengths, SIDES_B[ 0 ] ), clearArray( [ "?", "?", "?" ], SIDES_B[ 1 ] ) ), "points": [ "A", "B", "D" ] };
return trB;
}()
function(){
var trC = new Triangle( [0,0],[], 3, {}, [ TR_A.points[ 0 ], POINT_D, TR_A.points[ 2 ] ] );
trC.labels = { "angles" : clearArray( trC.niceAngles, [ 0 ] ) , "sides" : mergeArray( clearArray( trC.niceSideLengths, SIDES_C[ 0 ] ), clearArray( [ "?", "?", "?" ], SIDES_C[ 1 ] ) ), "points": [ "", "", "C" ] };
return trC;
}()
TR_B.niceSideLengths[ 1 ]
TR_B.niceSideLengths[ 0 ]
TR_C.niceSideLengths[ 1 ]
TR_C.niceSideLengths[ 2 ]
TR_B.niceSideLengths[ 1 ]
TR_B.niceSideLengths[ 0 ]
TR_C.niceSideLengths[ 1 ]
TR_C.niceSideLengths[ 2 ]
What is the length of the side AC?
init({
range: TR_A.boundingRange(1.5)
})
TR_B.draw();
TR_B.drawLabels();
TR_C.draw();
TR_C.drawLabels();
Angles DAB and DAC are equal.
Therefore AD is the bisector of CAB
Angle Bisector Theorem states that \dfrac{ AB }{ BD } = \dfrac{ AC }{ CD }
( TEMP_AB * TEMP_CD / TEMP_BD ).toFixed( 1 )
What is the length of the side AC? (Round to 1 decimal place).
AC
\dfrac{ AB }{ BD } = \dfrac{ AC }{ CD }
AC = \dfrac{AB \cdot CD }{ BD }
AC = AC
( TEMP_AC * TEMP_BD / TEMP_CD ).toFixed( 1 )
[ [ 1 ], [0] ]
[ [ 1,2 ], [ ] ]
What is the length of the side AB? (Round to 1 decimal place).
AB
\dfrac{ AB }{ BD } = \dfrac{ AC }{ CD }
AB = \dfrac{ AC \cdot BD }{ CD }
AB = AB
( TEMP_AC * TEMP_BD / TEMP_AB ).toFixed( 1 )
[ [ 1, 0 ], [] ]
[ [ 2 ], [1 ] ]
What is the length of the side CD? (Round to 1 decimal place).
CD
\dfrac{ AB }{ BD } = \dfrac{ AC }{ CD }
CD = \dfrac{ AC \cdot BD }{ AB }
CD = CD
( TEMP_AB * TEMP_CD / TEMP_AC ).toFixed( 1 )
[ [ 0 ], [ 1 ] ]
[ [ 1, 2 ], [ ] ]
What is the length of the side BD? (Round to 1 decimal place).
BD
\dfrac{ AB }{ BD } = \dfrac{ AC }{ CD }
BD = \dfrac{ AB \cdot CD }{ AC }
BD = BD