Question

1.

(03.01 LC)

The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle? (5 points)

2 units
6 units
Square root of 12 units
Square root of 20 units

Answer 1

`√(12)` units

Explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the other leg, then

x² + 2² = 4²

x² + 4 = 16 ( subtract 4 from both sides )

x² = 12 ( take the square root of both sides )

x =
`√(12)` units

which can be simplified to 2
`√(3)` units , if required.