Question

the leg of a right triangle is 4 units and the hypotenuse is 9 units. what is the length in units of the other leg of the triangle?

Answer 1

Answer:

Step-by-step explanation:

Pythagorean theorem,

leg ² + leg² = hypotenuse²

leg² + 4² = 9²

leg² + 16 = 81

    leg²  = 81 - 16

leg² = 65

leg = √65

leg = 8.06 units

Answer 2

Because a squared + b squared = c squared, and we know that the hypotenuse is c, we can turn the equation into 9^2 - 4^2= the other leg of the triangle. This equation is equivalent to 81 - 16 = 65. Then, you have to find the square root of 65 to get the other leg which is 8.06.