Question

In the right triangle shown, m\angle K = 60\degreem∠K=60°m, angle, K, equals, 60, degree and KL=2KL=2K, L, equals, 2. How long is JLJLJ, L? Choose 1 answer: Choose 1 answer: (Choice A) A 2\sqrt{2}2 2 ​ 2, square root of, 2, end square root (Choice B) B 2\sqrt{3}2 3 ​ 2, square root of, 3, end square root (Choice C) C 444 (Choice D) D 4\sqrt{2}4 2 ​ 4, square root of, 2, end square root (Choice E) E 4\sqrt{3}4 3 ​

Answer 1

Answer:

Part 1)

Part 2) Yes, It is a 30-60-90 triangle

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) How long is JL?

we know that

In the right triangle JKL

---> by TOA (opposite side divided by adjacent side)

we have

substitute the given values

Part 2) This is a 30-60-90 triangle?

Find the measure of angle J

we know that

---> by complementary angles in a right triangle

we have

substitute

therefore

The right triangle JKL is a 30-60-90 triangle