The hypoténuse of a right triangleis 34 in. one leg of the triangle is 14 inches less than the other leg. in simplified form, which equation could be used to find the lengths of the leg

the length of one leg is 30 inches and the leg of the other leg is 16 inches.

Step-by-step explanation:

Let the other leg of the triangle be x inches.

One leg of the triangle is 14 inches less than the other leg. This means that the length of this leg of the triangle is (x-14) inches.

The length of the hypothenuse of the right triangle is 34 inches.

The diagram of the triangle, showing it's dimensions is shown in the attached photo.

Applying Pythagoras theorem,

Hypothenuse^2 = adjacent^2 + opposite ^2

The simplified equation that can be used to find the lengths of the legs is

34^2 = (x-14)^2 + x^2

1156 = (x-14)(x-14) + x^2

1156 = x^2 - 14x - 14x + 196 + x^2

1156 = 2x^2 -28x +196

2x^2 -28x +196 - 1156 = 0

2x^2 -28x - 960 = 0

Dividing through by 2,

x^2 -14x - 480 = 0

x^2 +16x - 30x - 480 = 0

x(x+16)-30(x+16) = 0

(x + 16)(x - 30) = 0

x+16 = 0 or x-30= 0

x = -16 or x = 30

So x = 30 inches( because it cannot be negative)

One leg = x-14 = 30-14 = 16 inches

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation: