Question

In the right triangle shown, angle m∠K=60°m, KL, equals, 2. how long is JL(this is a 30-60-90 triangle)?

Answer 1

Answer:

Part 1) $JL=2\sqrt{3}\ units$

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

$tan(60^o)=\frac{JL}{KL}$ ---> by TOA (opposite side divided by adjacent side)

we have

$KL=2\ units$

$tan(60^o)=\sqrt{3}$

substitute the given values

$\sqrt{3}=\frac{JL}{2}$

$JL=2\sqrt{3}\ units$

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

Find the measure of angle J

we know that

$m\angle K+m\angle J=90^o$ ---> by complementary angles in a right triangle

we have

$m\angle K=60^o$

substitute

$60^o+m\angle J=90^o$

$m\angle J=90^o-60^o=30^o$

therefore

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