如图,易求得BC=8,∠ADB=90° AD=BD=5 √2
由角平分线的性质可得:
AE/EB=AC/CB ,则(10-EB)/EB=6/8 ,
解之得:EB= 40/7
∠BCD=∠MAD ∠D=∠B
所以 △BCE∽△DCA
则:即CD/CB=AD/BE即CD/8=5√2/(40/7) ,
解之得:CD=7 √2
如图,易求得BC=8,∠ADB=90° AD=BD=5 √2
由角平分线的性质可得:
AE/EB=AC/CB ,则(10-EB)/EB=6/8 ,
解之得:EB= 40/7
∠BCD=∠MAD ∠D=∠B
所以 △BCE∽△DCA
则:即CD/CB=AD/BE即CD/8=5√2/(40/7) ,
解之得:CD=7 √2