Math, asked by SureshBhati, 1 year ago

In Angle ,if Angle A=90 degree, Angle c = 30 degree and and BC 12 cm, then find the length of side AB and side AC.

Answers

Answered by TarunPaul345
7
In Triangle ABC,
angle A+angle B+angle C=180
90+angle B+30=180.
angle B+120=180
angle B=180-120
angle B=60
Given BC=12cm,AB=?,AC=?

In Triangle ABC,
sin 60=AC÷12 (sin angle=OS/H)
√3/2 = AC/12 ( sin 60 = √3/2)
AC = √3/2×12
AC = 6√3 cm
AND
tan 60 = AC/AB ( tan angle = OS/ AS )
√3 = 6√3/ AB ( tan 60 = √3 )
AB = 6√3/√3
AB = 6 cm
So, AB = 6cm , BC = 12cm , CA = 6√3cm

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