To determine what type of triangle Kevin Drew, we can look at both the angles and the side lengths.
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Angle Measures: Kevin has two angles measured at 30° and 40°. We can find the third angle using the fact that the sum of the angles in a triangle is always 180°.
- Third angle = 180° - 30° - 40° = 110°.
Since one of the angles is greater than 90° (the 110° angle), this triangle is classified as an obtuse triangle.
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Side Lengths: Kevin's triangle has sides measuring 5 cm, 7 cm, and 8 cm.
- The largest angle (110°) is opposite the longest side, which is 8 cm.
- The other angles (30° and 40°) are opposite the shorter sides, 5 cm and 7 cm respectively.
Given these observations:
- The triangle has angles of 30°, 40°, and 110°, making it an obtuse triangle.
- The sides are 5 cm, 7 cm, and 8 cm, which are all different lengths, meaning the triangle is also scalene (no sides are the same length).
In conclusion, Kevin Drew an obtuse scalene triangle.
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