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Grade 79 grade maths

Construct triangle EFG, if its perimeter is 9cm and angle F=60 degree and angle G=90 degree

Profile image of vansh tiwari
9 Years agoGrade 7
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1 Answer

Profile image of sonika p
8 Years ago
given GE+FG+FE=9cm....(1)
tan60=GE/FG = root 3 implies, FG=GE/root3
sin60= (root 3)/2=GE/FE implies FE=2GE/root3
putting all the values in equation 1, we get
GE=9/(root3 +1)
thus, FG=(3 * root3)/(1+root3)
FE=(6* root3)/(1+root3)