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ÐC is the smallest angle
In triangles, each angle and its corresponding opposite side are related. In each triangle the largest angle is across from the longest side; the smallest angle is across from the shortest side. Additionally, if sides are the same length, then the opposite angles have the same measure. 7 in 5 in 3 in A B C Example 1 ÐB is the largest angle ÐC is the smallest angle mÐA is in between mÐB and mÐC
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The length of BC is between the lengths of AB and AC.
Example 2 GSP A 60° 100° 20° C B AC is the longest side. AB is the shortest side. The length of BC is between the lengths of AB and AC.
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This triangle is Equilateral and Equiangular.
Y Example 3 ÐY is the largest angle 5 in 5 in ÐX and ÐZ are the same measure. They are both less than mÐY. X 7 in Z J Example 4 7 in 7 in This triangle is Equilateral and Equiangular. 7 in L K ÐJ, ÐK, and ÐL are all the same measure.
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The length of FE is in between the lengths of the other two sides.
DE is the longest side DF is the shortest side D The length of FE is in between the lengths of the other two sides. 70° Example 5 90° 20° E F G JH is the longest side 80° GJ and GH have the same length. The length is less than the length of JH. Example 6 50° 50° J H
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