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What is the length of the missing leg of a triangle has a hypotenuse of 20 and a leg of 5

1 Answer

4 votes

Answer:
5√(15) or 19.36 units

Explanation:

We can use the Pythagorean theorem to solve, where c is the hypotenuse and a and b are the legs.

Given:

a² + b² = c²

Substitute known values:

5² + b² = 20²

Square:

25 + b² = 400

Subtract both sides of the equation by 25:

b² = 375

Square root of 375:

b =
√(375) =
5√(15) = 19.3649 ≈ 19.36

User RLoniello
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