Question

Triangle ABC is isosceles with AB = AC.

Angle BAC = 110° and the area of the triangle is 85cm2.

Calculate AC

Answer 1

If Triangle ABC is isosceles with AB = AC is:  13.45 cm.

Triangle ABC

∆ABC = 85 cm² .

(1/2) ×AC×AB ×sinA = 85 cm²

AC=AB=x

Hence:

85= (1/2)x²×sin110°

A² × sin 110° = 170

A² ×0.94 = 170

A² = 170/0.94

A² =√ 180.85

A= 13.45 cm

Therefore if Triangle ABC is isosceles with AB = AC is:  13.45 cm.

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