Question

勾股定理直角三角形ABC,角c=90度,若c-a=4,b=16,求a,c

Answer 1

勾股定理直角三角形ABC,角c=90度,若c-a=4,b=16,求a,c
c-a=4==>>>c=a+4
勾股定理得
a^2+b^2=c^2
即
a^2+16^2=(a+4)^2
a^2+256=a^2+8a+16
8a=240
a=30
c=30+4=34