in ∆abc angle b = 90, ab=bc, ac=4√2 find the perimeter of ∆ABC
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Answer:
8+4√2
Step-by-step explanation:
let ab be x ,then bc will also be x (ab=bc,given)
by PT
(ab)²+(bc)²=(ac)²
(x)²+(x)²=(4√2)²
x²+x²=32
2x²=32
x²=32/2
x²=16
x=√16
x=4
ab=bc=4
perimeter=ab+bc+ca
=4+4+4√2
=8+4√2
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