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deff fn [24]
3 years ago
11

Right triangles 1, 2, and 3 are given with all their angle measures and approximate side lengths. Use one of the triangles to ap

proximate the ratio (KL)/(JL).
- 0.64
- 0.77
- 0.83
- 1.2

Mathematics
1 answer:
kolezko [41]3 years ago
5 0

Answer:

\frac{KL}{JL} = \frac{6.4}{7.7} = 0.83

Step-by-step explanation:

The key understanding here is that ΔJKL is similar to triangle 3 based on the AA criterion (they both have a right angle and a 40° angle).

We can find \frac{KL}{JL} by setting up a proportion statement that includes KL, JL, and the lengths of their corresponding sides in triangle 3.

We can use this proportion:

\frac{KL}{6.4} = \frac{JL}{7.7}

\frac{KL}{6.4} ⇒ opposite to 40° angle

KL, JL ⇒ ΔJKL

\frac{JL}{7.7} ⇒ adjacent to 40° angle

6.4, 7.7 ⇒ triangle 3

[Now see the attachment]

Now we can rewrite the equation to show the ratios of the side lengths within each triangle.

\frac{KL}{JL} = \frac{6.4}{7.7}

\frac{KL}{JL} ⇒ ΔJKL

KL, 6.4 ⇒ adjacent to 40° angle

\frac{6.4}{7.7} ⇒ triangle 3

JL, 7.7 ⇒ adjacent to 40° angle

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