Question

The leg of a right triangle is 3 units and the hypotenuse is 6 units. What is the length, in units, of the other leg of the triangle? (5 points)

3 units
9 units
Square root of 18 units
Square root of 27 units

Answer 1

Since the hypotenuse is 6 units, and the one of the legs is 3, what would guess the other leg unit is?

Answer 2

3?

Answer 3

Correct. Both legs are 3 units each, making the hypotenuse 6 units.

Answer 4

so thats the answer?

Answer 5

Yes

Answer 6

Thank you!!!

Answer 7

You're welcome.

Answer 8

Pythagorean theorem: \(a^2+b^2=c^2\) where a and b are hte legs and c is the hypotenuse

replace variables: \(3^2 + b^2 = 6^2 \\9+b^2=36\\b^2=27\\b=\sqrt{27} \)