In a triangle ab =4 angle b= 90 angle c= 60 find ab and bc
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Step-by-step explanation:
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Answer:
AC= 8/√3
BC= 4/√3
Step-by-step explanation:
Since it is a rt. angled triangle,
tan θ= AB/BC.
tanθ=4/BC
tan 60° = 4/ BC
√3 = 4 / BC
BC= 4/√3
BC= 4√3 / 3 units.
∴AC²=AB²+BC²
AC²=4²+ (4/√3)²
AC² = 16 + 16 / 3
AC² = 48+16 / 3
AC² = 64 / 3
AC=√(64/3)
AC= 8 /√3
(or)
AC = 8√3 / 3.
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