Question

asked Mar 5, 2020 170k views

2 Answers

Yinsweet · Answer 1 · 2020-03-06T23:05:37+0000

Hello!

The answer is:

The third option,

Since we are working with a right triangle, we can use the following identity:

$Sin(\alpha)=(y)/(hypothenuse)$

We are given:

$\alpha =45\°\\LM=y=7$

hypothenuse=KL

Then, substituting and solving we have:

$Sin(45\°)=(7)/(hypothenuse)$

$Hypothenuse=KL=(y)/(Sin(45\°))=(7)/((√(2) )/(2) ) \\\\Hypothenuse=KL=7√(2)$

Hence, the answer is the third option,

KL=7√(2)

Have a nice day!

Trampster · Answer 2 · 2020-03-09T02:16:39+0000

Answer:

|KL|=7√(2)

Explanation:

The given triangle is a right triangle.

The m<K=45 degrees.

This means the measure of <L is also 45 degrees.

This implies that;

|LM|=|KM|=7 units.

From the Pythagoras Theorem;

|KL|^2=|LM|^2+|KM|^2

|KL|^2=7^2+7^2

|KL|^2=2(7^2)

|KL|=√(2(7^2))

|KL|=7√(2)

Option C is correct.