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the three angles of a triangle are in the ratio 2 : 1 : 2: find the measure of the angles and state the kind of triangle |
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Answer» 32°16°32°Kind of Triangle:by side: isosceles triangleby ANGLE: acute angled triangle.Step-by-step explanation:let one part (constant) be xratio of the angles of triangle = 2:1:2 (angle sum property of triangles STATES that the summ of all the angles of a triangle is 180°):. 2X + X + 2x = 180° => 5x = 180°=> x = 180°/5 => x = 16° therefore angle 1 = 2x = 2×16 = 32°angle 2 = x = 16°angle 3 = 2x = 32° kind of triangle:by angle: ACUTE ANGLED TRIANGLE (as all the angles of the given triangle are less than 90° it is an acute angled triangle)by side: ISOSCELES TRIANGLE (as one of the property of an isosceles triangle is that the side opposite to the equal angles are equal) |
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