Question

three angels of a triangle are x⁰ , 2x⁰ and 3x⁰ . Prove that the triangle in right angled

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Answer 1

The three angles of a triangle = x⁰, 2x⁰, 3x⁰

According to angle sum property of a triangle,

x+2x+3x = 180⁰

=> 6x = 180⁰

=> x = 180/6

=> x = 30⁰

1st angle = x⁰ = 30⁰

2nd angle = 2x = 2×30⁰ = 60⁰

3rd angle = 3x = 3×30 = 90⁰

Since this triangle has an angle equal to 90⁰, It is a right angled triangle.

We know in a right angled triangle one angle is always equal to 90⁰

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