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What is the smallest angle in a right angle triangle whose vertices meet at the points of 5 9 and 14 -3 and 2 3 on the Cartesian plane showing work?
Wiki User
∙ 10y ago
1 Using the fact that: The square root of (x1-x2)2+(y1-y2)2 = length of line
2 Line lenth of: (5, 9) and (14, -3) = 15 (hypotenuse)
3 Line length of: (14, -3) and (2, 3) = 6*sq rt of 5 (opposite)
4 Line length of: (2, 3) and (5, 9) = 3*sq rt of 5 (adjacent)
5 Smallest angle: tan-1(6*sq rt of 5) over (3*sq rt of 5) = 26.6 degees to 1 d.p.
6 Check: (6*sq rt of 5)2+(3*sq rt of 5)2 = 225 and its square root is 15 which is the length of the hypotenuse of the right angle triangle
In any triangle, the smallest angle is opposite to the shortest side.
Wiki User
∙ 10y ago
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