Given right triangle JKL, what is the value of cos(L)?
1. 5/13
2. 5/12
3. 12/13
4. 12/5

Answer:

A 5/13

Step-by-step explanation:

Just took the test

The value of Cos L in the given right triangle JKL, is 5/13

The cosine of an angle is defined as the sine of the complementary angle.

The complementary angle equals the given angle subtracted from a right angle, 90°.

Also, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H).

Given is a right triangle JKL, we need to find the value of cos(L),

Since, the cosine of an angle is the ratio of the base and hypotenuse,

So, firstly of we will find the value of the hypotenuse,

Using the Pythagoras theorem,

12²+5² = hypotenuse²

hypotenuse = √(12²+5²)

hypotenuse = √169

hypotenuse = 13

Therefore, Cos L = 5/13

Hence, the value of Cos L in the given right triangle JKL, is 5/13

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