A convex quadrilateral has area 30 and side lengths 5, 6, 9 and 7, in that order. Denote by θ the measure of the acute angle formed by the diagonals of the quadrilateral. Then tan θ can be written in the form m/n, where m and n are relatively prime positive integers. Find m+n.
A convex quadrilateral has area 30 and side lengths 5, 6, 9 and 7, in that order. Denote by θ the measure of the acute angle formed by the diagonals of the quadrilateral. Then tan θ can be written in the form m/n, where m and n are relatively prime positive integers. Find m+n.
A convex quadrilateral has area 30 and side lengths 5, 6, 9 and 7, in that order. Denote by θ the measure of the acute angle formed by the diagonals of the quadrilateral. Then tan θ can be written in the form m/n, where m and n are relatively prime positive integers. Find m+n.
A convex quadrilateral has area 30 and side lengths 5, 6, 9 and 7, in that order. Denote by θ the measure of the acute angle formed by the diagonals of the quadrilateral. Then tan θ can be written in the form m/n, where m and n are relatively prime positive integers. Find m+n.
Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.
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