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In a ΔABC, if ∟A = 50 degree and ∟B = 60 degree, determine the shortest and the longest sides of the triangle |
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Answer» -step explanation:Consider △ ABC, Based on the SUM property we can write it as ∠ A + ∠ B + ∠ C = 180 degreeBy substituting the values we get 50 degree+ 60 degree + ∠ C = 180 degree On further CALCULATION ∠ C = 180 degree– 50 degree – 60 degreeBy subtraction ∠ C = 180 degree – 110 degree ∠ C = 70 degree So we have ∠ A < ∠ B < ∠ C We get BC < AC < AB Therefore, the longest side of the triangle is AB and the shortest side is BC. |
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