The legs of a right triangle are 3 units and 6 units. What is the length of the hypotenuse?

Question

asked Sep 22, 2020 106k views

2 Answers

Brunette · Answer 1 · 2020-09-25T08:47:53+0000

ANSWER

The hypotenuse is 3√5 units.

EXPLANATION

We use the Pythagoras Theorem.

Let h be the hypotenuse.

The Pythagoras Theorem says that, the hypotenuse square is equal to the sum of the squares of the two shorter legs.

${h}^(2) = {3}^(2) + {6}^(2)$

${h}^(2) = 9+ 36$

${h}^(2) = 45$

Take positive square root.

h = √(45)

h = 3 √(5) units

Chris Sullivan · Answer 2 · 2020-09-26T09:25:34+0000

Answer:

The length of the hypotenuse is
$h = 6.71\ units$

Explanation:

For a straight triangle it is true that

h = √(a ^ 2 + b ^ 2)

Where has is the hypotenuse of the right triangle and a and b are the lengths of the other two sides.

In this case we know that:
$a = 3\\b = 6$

So the hypotenuse is:

h = √(3 ^ 2 + 6 ^ 2)

h = 3*√(5)

h = 6.71