If a triangle has sides of 6 and 8, what must the hypotenuse be for the triangle to be a right triangle?

10 = x

Step-by-step explanation: To find the hypotenuse, notice that we have a right triangle so we can use the pythagorean theorem. The pythagorean theorem states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse. To find the hypotenuse, we can use the formula shown.

a² + b² = c²

Using the formula above, "a" and "b" are the legs of the right triangle and "c" is the hypotenuse. Since our legs have lengths of 6 and 8 and our hypotenuse has a length of "x", we can set up an equation to represent this.

Image provided.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.