Question

the x axis y axis and a line passing through the point a(6,0)forms a triangle abc. if a=30degrees, then area of triangle in square units.

Answer 1

Given info : x -axis , y - axis and a line passing through the point A(6, 0) forms a triangle ABC.

To find : if A = 30° , then the area of triangle in square units is.....

Solution : see diagram, it is clear that AB = 6 unit

tan30° = BC/AB

⇒1/√3 = BC/6

⇒BC = 2√3 unit

So area of triangle ABC = 1/2 × AB × BC

= 1/2 × 6 × 2√3 sq units

= 6√3 sq units.

Therefore the area of triangle ABC in square units is 6√3.

also read similar questions : the area of the triangle formed by the points A(2,0) , b(6,0) and c(4,6)

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If Angle DAC = 30degree Find the angles of triangle ABC

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Answer 2

Answer:

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