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For the triangle, select the correct order of the side lengths from least to greatest.


In triangleJKL, m∠J = 52°, m∠K = 69°, and m∠L = 56°.


The order of the side lengths from least to greatest is

1 Answer

5 votes

Answer:

The order of the side lengths from least to greatest is KL < JK < JL

Explanation:

Let us solve the question

∵ JKL is a triangle

∴ The side JK is opposite to the ∠L

∴ The side KL is opposite to the ∠J

∴ The side JL is opposite to the ∠K

In any triangle, the longest side is opposite to the greatest angle and the shortest side is opposite to the smallest angle.

∵ m ∠J = 52°

∵ m∠K = 69°

∵ m∠L = 56°

→ Arrange them from smallest to greatest

∵ 52° < 56° < 69°

m∠J < m∠L < m∠K

→ Arrange the side according to the measure of their opposite angles

∴ KL < JK < JL

The order of the side lengths from least to greatest is KL < JK < JL

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