题目有错,显然c边最长,a/c=7/15
设 a=7k,c=15k,k0
a^2+b^2=c^2, (7k)^2+24^2=(15k)^2,k^2=24^2/(15^2-7^2)=24^2/(22x8)=24^2/(11x4^2)
K=24/(4根号11)
S=ab/2=7kX24/2=7X24/(4根号11)x12=24x21/根号11
题目有错,显然c边最长,a/c=7/15
设 a=7k,c=15k,k0
a^2+b^2=c^2, (7k)^2+24^2=(15k)^2,k^2=24^2/(15^2-7^2)=24^2/(22x8)=24^2/(11x4^2)
K=24/(4根号11)
S=ab/2=7kX24/2=7X24/(4根号11)x12=24x21/根号11