i think:
the hyp of the bigger triangle is devided into two parts lets say one of them is "m" and the other is 'n'
so we can find m using pytha. theorem:
102−62=82m=8
and there is a formula that:
a2=m∗(m+n)a=10m=8102=8∗(8+n)n=92
c=m+nc=8+4.5=12.5
let s use again pyth. theorem:
12.52−102=7.52b=7.5
Atriangle=7.5∗102=37.5
another easier way to do that:
h2=m∗n62=8∗nn=92
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