The two shortest legs of a right triangle are 12 cm and 16 cm. What is the length of the longest leg?

The length of the longest leg is 20 cm.

Step-by-step explanation:

Use the Pythagorean theorem to work this out; a² + b² =  c².

If the two shortest legs (sides) are 12 cm and 16 cm, then the longest leg will be substituted by c.

Substitute 12 into a and 16 into b. The equation then becomes:

12² + 16² = c². Simplify this equation.

144 + 256 = 400.

Now, find the square root of 400 (c) because this answer is c in squared form.

= 20.

Hence, the length of the longest leg is 20 cm.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w