问题
填空题
在Rt△ABC中,∠C=90°,①若a=5,b=12,则c=______;②若a=12,c=20,则b=______;③若c=61,b=60,则a=______.
答案
①∵在Rt△ABC中,∠C=90°,a=5,b=12,
∴c=
=a2+b2
=52+122
=13;169
故答案为:13;
②∵在Rt△ABC中,∠C=90°,a=12,c=20,
∴b=
=c2-a2
=202-122
=15;225
故答案为:15;
③∵在Rt△ABC中,∠C=90°,c=61,b=60,
∴a=
=c2-b2
=612-602
=11.121
故答案为:11.