1.2k views
5 votes
The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.

User Feng Yuan
by
7.9k points

2 Answers

5 votes

Answer:

2√3 = hypotenuse

√3 = side

Explanation:


\sqrt{3^(2) +x^(2) } = 2x \\\sqrt{9 +x^(2) } = 2x\\9+x^(2) =(2x)^(2) \\9+x^(2) = 4x^(2) \\9 = 4x^(2) - x^(2) = 3x^(2) \\3 = x^(2)\\√(3) = x\\\\2x = 2√(3)\\

2 votes

Answer:

the smaller side=√3

hypotenuse=2√3

Explanation:

(see the attachment below)

The hypotenuse of a right triangle is twice the length of one of its legs. The length-example-1
User Lgaud
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories