62.3k views
4 votes
In LMN if the hypotenuse MN=37 and LN=LM what is the measure of leg LN

User Gamerkore
by
7.6k points

1 Answer

1 vote

Answer:

Explanation:

If it has a hyptoenuse it is a right triangle.

The sides an be found by using:

a ² + b² = c²

since LN = LM the two legs are equal to each other - let's substitute a² for b² since a and be will be equal to each other.

a² + a² = 37²

2a² = 37²

√2a² = √37²

a√2 = 37

a
√(2) /
√(2) = 37 /
√(2) (Divide each side by
√(2) )

a = 26.16295

So LN = 26.16295 as well as LM

User Benamir
by
7.5k points