If x → and y → be two non-collinear vectors and a triangle A B C with side lengths a , b , c satisfy the vector equation 20 a - 15 b x → + 15 b - 12 c y → + 12 c - 20 a x → × y → = 0 → , then ∆ A B C is

Question

If x → and y → be two non-collinear vectors and a triangle A B C with side lengths a , b , c satisfy the vector equation 20 a - 15 b x → + 15 b - 12 c y → + 12 c - 20 a x → × y → = 0 → , then ∆ A B C is, an acute angle triangle, an obtuse angle triangle, a right angle triangle, an isosceles triangle.

MARKS App · Accepted Answer

∵ x → , y → and x → × y → are non coplanar vectors 20 a - 15 b = 0 , 15 b - 12 c = 0 , 12 c - 20 a = 0 ⇒ a 3 = b 4 = c 5 ⇒ ∆ A B C is a right angle triangle

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