+33615 Find AI using Pythagoras:
AI2 = (AC/2)2 + (18+5)2
where AC2 = 52 + 72
To find angle AIE first find length EI.
EI2 = (EH/2)2 + 52 and EH = AC
Having found AI and EI, now use the cosine rule to find AIE:
cos(AIE) = (AI2 + EI2 - 182)/(2*AI*EI) so AIE = cos-1((AI2 + EI2 - 182)/(2*AI*EI))
I’ll leave you to crunch the numbers!
+33615 Find AI using Pythagoras:
AI2 = (AC/2)2 + (18+5)2
where AC2 = 52 + 72
To find angle AIE first find length EI.
EI2 = (EH/2)2 + 52 and EH = AC
Having found AI and EI, now use the cosine rule to find AIE:
cos(AIE) = (AI2 + EI2 - 182)/(2*AI*EI) so AIE = cos-1((AI2 + EI2 - 182)/(2*AI*EI))
I’ll leave you to crunch the numbers!
