Question

The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?

Square root of 5
Square root of 7
5
7

Answer 1

7

Step-by-step explanation:

let the other leg be x

Then using Pythagoras' identity

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

x² + 3² = 4²

x² + 9 = 16 ( subtract 9 from both sides )

x² = 7 ( take the square root of both sides )

x = 7

Answer 2

7

Explanation:

let the other leg be x

Then using Pythagoras' identity

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

x² + 3² = 4²

x² + 9 = 16 ( subtract 9 from both sides )

x² = 7 ( take the square root of both sides )

x = 7