The length of i is 6.6 units(after the nearest 10th of a centimeter) if in ΔIJK, k = 7.2 cm, ∠J=55°, and ∠K=67°.
The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle:
As we know the sum of the triangle is 180°
So I = 180 - 55 - 67 = 58°
Applying sin law to calculate the value of i:
[tex]\rm \frac{i}{sin58} = \frac{k}{sin67}[/tex]
[tex]\rm i = \frac{7.3\times sin 58}{sin67}[/tex]
i = 6.633 units ≈ 6.6 units (sin58 = 0.848, and sin67 = 0.920)
Thus, the length of i is 6.6 units(after the nearest 10th of a centimeter) if in ΔIJK, k = 7.2 cm, ∠J=55°, and ∠K=67°.
Learn more about the triangle here:
brainly.com/question/25813512
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